{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 波士顿房价数据探索\n",
    "\n",
    "该数据集来自UCI机器学习知识库。波士顿房屋这些数据于1978年开始统计，共506个数据点，涵盖了麻省波士顿不同郊区房屋13种特征和房价的信息。\n",
    "本项目将原始数据集存为csv格式，方便调用pandas做数据分析。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 导入必要的工具包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np # linear algebra\n",
    "import pandas as pd # data processing, CSV file I/O\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "#color = sns.color_palette()\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 读取数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296</td>\n",
       "      <td>15</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM  ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD  TAX  PTRATIO  \\\n",
       "0  0.00632  18   2.31     0  0.538  6.575  65.2  4.0900    1  296       15   \n",
       "1  0.02731   0   7.07     0  0.469  6.421  78.9  4.9671    2  242       17   \n",
       "2  0.02729   0   7.07     0  0.469  7.185  61.1  4.9671    2  242       17   \n",
       "3  0.03237   0   2.18     0  0.458  6.998  45.8  6.0622    3  222       18   \n",
       "4  0.06905   0   2.18     0  0.458  7.147  54.2  6.0622    3  222       18   \n",
       "\n",
       "        B  LSTAT  MEDV  \n",
       "0  396.90   4.98  24.0  \n",
       "1  396.90   9.14  21.6  \n",
       "2  392.83   4.03  34.7  \n",
       "3  394.63   2.94  33.4  \n",
       "4  396.90   5.33  36.2  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# path to where the data lies\n",
    "#dpath = './data/'\n",
    "data = pd.read_csv(\"boston_housing.csv\")\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据基本信息"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 506 entries, 0 to 505\n",
      "Data columns (total 14 columns):\n",
      "CRIM       506 non-null float64\n",
      "ZN         506 non-null int64\n",
      "INDUS      506 non-null float64\n",
      "CHAS       506 non-null int64\n",
      "NOX        506 non-null float64\n",
      "RM         506 non-null float64\n",
      "AGE        506 non-null float64\n",
      "DIS        506 non-null float64\n",
      "RAD        506 non-null int64\n",
      "TAX        506 non-null int64\n",
      "PTRATIO    506 non-null int64\n",
      "B          506 non-null float64\n",
      "LSTAT      506 non-null float64\n",
      "MEDV       506 non-null float64\n",
      "dtypes: float64(9), int64(5)\n",
      "memory usage: 55.4 KB\n"
     ]
    }
   ],
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "CRIM       0\n",
       "ZN         0\n",
       "INDUS      0\n",
       "CHAS       0\n",
       "NOX        0\n",
       "RM         0\n",
       "AGE        0\n",
       "DIS        0\n",
       "RAD        0\n",
       "TAX        0\n",
       "PTRATIO    0\n",
       "B          0\n",
       "LSTAT      0\n",
       "MEDV       0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### 查看是否有空值\n",
    "data.isnull().sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 探索数据"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "查看数据各特征的分布，以及特征之间是否存在相关关系等冗余。\n",
    "\n",
    "我们可以借用可视化工具来直观感觉数据的分布。\n",
    "\n",
    "在Python中，有很多数据可视化途径。\n",
    "Matplotlib非常强大，也很复杂，不易于学习。 \n",
    "Seaborn是在matplotlib的基础上进行了更高级的API封装，从而使得作图更加容易，在大多数情况下使用seaborn就能做出很具有吸引力的图，而使用matplotlib就能制作具有更多特色的图。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>3.613524</td>\n",
       "      <td>11.347826</td>\n",
       "      <td>11.136779</td>\n",
       "      <td>0.069170</td>\n",
       "      <td>0.554695</td>\n",
       "      <td>6.284634</td>\n",
       "      <td>68.574901</td>\n",
       "      <td>3.795043</td>\n",
       "      <td>9.549407</td>\n",
       "      <td>408.237154</td>\n",
       "      <td>18.083004</td>\n",
       "      <td>356.674032</td>\n",
       "      <td>12.653063</td>\n",
       "      <td>22.532806</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>8.601545</td>\n",
       "      <td>23.310593</td>\n",
       "      <td>6.860353</td>\n",
       "      <td>0.253994</td>\n",
       "      <td>0.115878</td>\n",
       "      <td>0.702617</td>\n",
       "      <td>28.148861</td>\n",
       "      <td>2.105710</td>\n",
       "      <td>8.707259</td>\n",
       "      <td>168.537116</td>\n",
       "      <td>2.280574</td>\n",
       "      <td>91.294864</td>\n",
       "      <td>7.141062</td>\n",
       "      <td>9.197104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.006320</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.460000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.385000</td>\n",
       "      <td>3.561000</td>\n",
       "      <td>2.900000</td>\n",
       "      <td>1.129600</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>187.000000</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>0.320000</td>\n",
       "      <td>1.730000</td>\n",
       "      <td>5.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.082045</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.190000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.449000</td>\n",
       "      <td>5.885500</td>\n",
       "      <td>45.025000</td>\n",
       "      <td>2.100175</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>279.000000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>375.377500</td>\n",
       "      <td>6.950000</td>\n",
       "      <td>17.025000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.256510</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.690000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.538000</td>\n",
       "      <td>6.208500</td>\n",
       "      <td>77.500000</td>\n",
       "      <td>3.207450</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>330.000000</td>\n",
       "      <td>19.000000</td>\n",
       "      <td>391.440000</td>\n",
       "      <td>11.360000</td>\n",
       "      <td>21.200000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>3.677082</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>18.100000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.624000</td>\n",
       "      <td>6.623500</td>\n",
       "      <td>94.075000</td>\n",
       "      <td>5.188425</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>666.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>396.225000</td>\n",
       "      <td>16.955000</td>\n",
       "      <td>25.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>88.976200</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>27.740000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.871000</td>\n",
       "      <td>8.780000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>12.126500</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>711.000000</td>\n",
       "      <td>22.000000</td>\n",
       "      <td>396.900000</td>\n",
       "      <td>37.970000</td>\n",
       "      <td>50.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             CRIM          ZN       INDUS        CHAS         NOX          RM  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean     3.613524   11.347826   11.136779    0.069170    0.554695    6.284634   \n",
       "std      8.601545   23.310593    6.860353    0.253994    0.115878    0.702617   \n",
       "min      0.006320    0.000000    0.460000    0.000000    0.385000    3.561000   \n",
       "25%      0.082045    0.000000    5.190000    0.000000    0.449000    5.885500   \n",
       "50%      0.256510    0.000000    9.690000    0.000000    0.538000    6.208500   \n",
       "75%      3.677082   12.000000   18.100000    0.000000    0.624000    6.623500   \n",
       "max     88.976200  100.000000   27.740000    1.000000    0.871000    8.780000   \n",
       "\n",
       "              AGE         DIS         RAD         TAX     PTRATIO           B  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean    68.574901    3.795043    9.549407  408.237154   18.083004  356.674032   \n",
       "std     28.148861    2.105710    8.707259  168.537116    2.280574   91.294864   \n",
       "min      2.900000    1.129600    1.000000  187.000000   12.000000    0.320000   \n",
       "25%     45.025000    2.100175    4.000000  279.000000   17.000000  375.377500   \n",
       "50%     77.500000    3.207450    5.000000  330.000000   19.000000  391.440000   \n",
       "75%     94.075000    5.188425   24.000000  666.000000   20.000000  396.225000   \n",
       "max    100.000000   12.126500   24.000000  711.000000   22.000000  396.900000   \n",
       "\n",
       "            LSTAT        MEDV  \n",
       "count  506.000000  506.000000  \n",
       "mean    12.653063   22.532806  \n",
       "std      7.141062    9.197104  \n",
       "min      1.730000    5.000000  \n",
       "25%      6.950000   17.025000  \n",
       "50%     11.360000   21.200000  \n",
       "75%     16.955000   25.000000  \n",
       "max     37.970000   50.000000  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## 各属性的统计特性\n",
    "data.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "此处得到各属性的样本数目、均值、标准差、最小值、1/4分位数（25%）、中位数（50%）、3/4分位数（75%）、最大值\n",
    "可初步了解各特征的分布"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 单变量分布分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AcDA5L4V7PzuHZTfOJzc1nv94/C0+dfdrNpaPGXWW9EPAH1/fQ1VDGxdPH0dy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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fb695d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 目标y（房屋价格）的直方图／分布\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.MEDV.values, bins=30, kde=True)\n",
    "plt.xlabel('Median value of owner-occupied homes', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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f1ahPkzdkCMKou2w8Lv19UUcc8VXmTuqzdtlexz8gtfMupZ0QJQ5UdQiysqpO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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fd496d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 单个特征散点图\n",
    "plt.scatter(range(data.shape[0]), data[\"MEDV\"].values,color='purple')\n",
    "plt.title(\"Distribution of Price\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看出，数据大多集中在均值（22.5）附近，和正态分布比较接近。但最大值50的样本数目偏多，可能是原始数据将所有大于50的样本的值都设置为50（猜测），在模型训练时也可以考虑将y等于50的样本当成outliers（离群点）去掉。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 删除y大于50的样本\n",
    "data = data[data.MEDV < 50]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(490, 14)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 输入属性的直方图／分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jIdYlSTq6BTuPvqpuAW5ZqNcfMufhnw65TZ7J7fFsbpNn6np7LMiXsZKk5w5vgSBJnVvS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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fdffb10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.CRIM.values, bins=30, kde=False)\n",
    "plt.xlabel('crime rate', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "犯罪率特征的分布是长尾分布，和指数分布比较接近。大部分城镇的犯罪率很低，极少数样本的犯罪率高。从常理看，该数值应该比较准确，可以不予处理。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fdfffd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.ZN.values, bins=30, kde=False)\n",
    "plt.xlabel('proportion of residential land zoned', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ffdd3d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.INDUS.values, bins=30, kde=False)\n",
    "plt.xlabel('proportion of non-retail business acres', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vvscZ9qiqOwHa5/Na/wrg9rHtNrY+SdKETMtAdDr6OmeMTbImybok6zZt2jRwWZK0eM13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\nLSOzFo1H5QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fdfff90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(data.CHAS, order=[0, 1]);\n",
    "plt.xlabel('Charles River');\n",
    "plt.ylabel('Number of occurrences');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0My/+bZKrkxzRb/uHnlmSDwHrgd/vhzjemmRDf3GQi5PsBD45sm5N/7i1SX47yT1JHkzy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\nVFbv50hYqwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110007ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.NOX.values, bins=30, kde=False)\n",
    "plt.xlabel('nitric oxides concentratio', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x110037490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.RM.values, bins=30, kde=False)\n",
    "plt.xlabel('average number of rooms per dwelling', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SfZV+Tfezkj/Lee9eSW/qVBw9S+hjsOmArcD5EXEIcBTw4by+FwDLImI2sCx3l+qjwMpK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\nJ3Qzs0I4oZuZFeL/A/7neEQwbasmAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11025e090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.AGE.values, bins=30, kde=False)\n",
    "plt.xlabel('proportion of owner-occupied units built prior to 1940', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1103951d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.DIS.values, bins=30, kde=False)\n",
    "plt.xlabel('weighted distances to five Boston employment centres', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1104a31d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.RAD.values, bins=20, kde=False)\n",
    "plt.xlabel('index of accessibility to radial highways', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ff7ce10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(data.RAD);\n",
    "plt.xlabel('index of accessibility to radial highways');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1106a48d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.TAX.values, bins=20, kde=False)\n",
    "plt.xlabel('full-value property-tax rate per $10,000', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1104a3c90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(data.PTRATIO);\n",
    "plt.xlabel('pupil-teacher ratio by town');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6z2j/pgcBx7Z/6wMmVNeRwPFt+rHA37T9T7XP5qlrLfRZgIPb9IHA9a0vLgO2tfY/Bv55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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11079a950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.B.values, bins=30, kde=False)\n",
    "plt.xlabel('proportion of blacks', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1108dc690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(data.LSTAT.values, bins=30, kde=False)\n",
    "plt.xlabel('lower status of the population', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 两两特征之间的相关性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#get the names of all the columns\n",
    "cols=data.columns \n",
    "\n",
    "# Calculates pearson co-efficient for all combinations，通常认为相关系数大于0.5的为强相关\n",
    "data_corr = data.corr().abs()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(14, 14)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_corr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vpH3xnd12z7v64zflEczxtrq8umI1GT/b2p8usApVZj+DrloV0DTinpqJOSbO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\nyuXY4bmaQye3cfD4VuzsbC3WXbpqHodObH3tjC1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cK2d8Zk5e5LUEnVZL3Xo1+WzwGDq3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c/BtT\ncFJ9Ud4qgm2bd3g8axQ8eYiSPZc5f5XaaIuW5vG0z0Bng+OImRiueEHs44zNLF7KmzYs5Imqqi6q\nqlYBwoHmD8QJAAAgAElEQVTPki27A3RIdvtt4Io1H7yMS1mCfIMI8Q/BoDdwdNsR6rjVtShz+cQl\n4mPjAbhxzpt8hfMDEOQTSJBvEAAR98OJehBFrrw5rRkPgKIuZQjzCyHC/z5GvZEL205QsXUtizJx\nyU6sto52qKr550X1T+Lw8/LGEKe3eq6U8tUoTYxvCA/vhmLSG/HbcpKibWqlKlf9ix5cnbcdY7JM\nxidxhJ66YXGftdRyrc6dO374+vqj1+vZuH477du3sijj3r4VK1dsBGDzpp00bVY/cVn7Dm74+vhz\n7dpNq2d7FmeX0oT7hRDhH4pRb+TStpNUSGefk/CLssFX/Ii5HwnA/Rv30NnZoLXN/M/Uri5VyZUz\nR6Y/bkolXcpw3y+YB/73MeoNeG07RvXWrhZlbpy4gj6hjvucu0HuQnlTbaeWez0uHzyXWM6aSruU\nIcQ3iFD/EIx6Aye3HaWWWx2LMtdOXE48D906d4O8hfNZPcfLKOdSjkDfQILvBmPQGzi09RD1Wv+f\nvfsOj6Jc+zj+ndnddNJ7Qq/SEZSqdASRolhQQUHQgx5QkaIgIiICYkGPCCL6SlEBGwgKYkBAQHoL\nhJIQIEB6byQkuzvvHwlJNoVwjrtJwPtzXbmuzO49u7/s7Mw8+8yzTzpZ1ITuDeVa7jUAzhw5g7e/\nt81z1WvbiKSoeJILj5dHNv5F6353WdRElNjeF49G4O5//bXUMNgb0Bv06O0M6PQ6MhLTrZ6xbttG\nJJbK2OomM/o3Dubc/tOYTWbycq4RfTqKO7q3sXpGgFZ3NufShStciYrBmG9k8/oQevW/16Im5nIs\n4afOYS71L62jzl/m0oWCTqrE+CRSklLx8PKwekZ9szswRkdjjo0Fo5Fr2//Avks3ixqHgYPI2bAO\nLaugYa+lpRXdl3/0CNpV2zdS1XpNMCfGoCXHgcmI8fBO9G0s9xe7bv3J37kRcgpzZhW891T/Opgi\nToDZDHnXMEVfQN+87Ln1VqGZbf9THWpa47qkvUBQieUc4LSiKNfPhI8B31nzCb38vUiOTSpaTo5N\nwtO/4pNW78f6cmTH4TK3N2rTGL2dnrioOGvGA8DVz4P0mOSi5YzYFNz8yp78O43sy+SdC+n/2hNs\nnGXdYRU3w9Hfg6sxKUXLV2NTcAywPJh6tKyLU6An0VuPVVmuwEA/oq/EFi1HR8cREOhnURMQ6F9U\nYzKZyEjPxNPLAycnR16e+Bzz5/2n7ANrGut/Xs7OXT8zavRwq2au5edZZpu7+pU9Md09si8v7/yQ\nfq89zq+zVpS5v/mAu4kNi8KUZ7RqvluJu58nqSVey9TYFNz9Kt7Huz7am7AdR8vc3mFQVw5usM2w\nLw9/L1JiizOmxCbjUU4D/7ruj/UmdMeRomWDvR1vbVzAm+vm077f3RWuZ03e/t4kxiQWLSfFJuF1\ng2Nnv+H9OLTjkM1zuZXZ3sm4lbPvXNf50Z6c2lFwPLpwJIKIvWG8c3Apcw8s5fSfx4mPjK5w3f+V\nu58naSUyplWSsVOJjDGno2jeoy0GBzucPWrRuHML3ANs86HF19+HuJjiYTzxMQn4+vv814/Tsl1z\nDAYDly9eqbz4v6Tz9sacWJzRnJiI6m35euiDg9EF18b940V4fLIYu7uqZh8pSXX3xpxavL+YU5NQ\n3Cz3F8U3CNUvCKdJ7+M0ZSG6wga0OfoC+hYdwGCP4uyKvklrFI//fjsI26pRw0KuUxRFB/QGvix1\n1xpguKIocYAJiAECrfjMZW/StLK3Afc+2INGrRox4zHLcVkevh68tHAin0z6uKjH2KqUshnLe559\nq0LYtyqENoO70GvCUL6fVLXjXJVycqJZFNB+1gj2vry0bJ0NlZer9MtXbnRNY/rrL7P406/Izi7b\ns9Gvz6PExSXg7ePF+g0rCA+P5K891hmLW1Ge0g6sCuHAqhBaDe5C9wlDWTep+LX1aRxEv9eGs2Kk\nbS/D13jlvJYV7eMdh95D3dYN+OCxNy1ud/VxJ6hpHcJsMCQE/quIdHnwXuq3asQ7j80ouu3lzs+R\nlpCKT20/pq1+i8tnoki4FG+TrEXKDV1+ac8He9KkdROmPjLVppHgJo5DJdw1tBt1Wjfk48dmAeBd\n1w+/RkHM6PQ8ABO+nkHDu0OJPHDa2iHLRqwgY4fCjP8pzHhmVyh1Wjdk4k9vk5WcwcUjEZhNJuvm\nK4pZTs7/8jG8fb2Yt+hNXn9xtm3Oj+Wew0st63Tog4JJe+UlVB8fPD76hJQxo9GyrTxE5W9SVB34\nBHF14asoHt44vfI+2XPGYTp9BGPdJjhN/gAtKx3T+TNgts02rwoyW0jVcFQU5RiQDHgCIaXu/w3o\nCzwOrL3RAymK8pyiKIcURTl0ISvqRqVFkuOSioZ5AHgFeJMSn1KmrnXXNjw8/hHmjZ2DsUQvoKOL\nI69/NZNv3/+G8KNnb+o5/1sZcSm4BRZ/wnUN8CQjoeJxvqEb99K8b4cK77eVq7EpOAUW97Y5BXiS\nE1ec0+DigFuzYPr8+DpD9i/E+86GdF/+Cp6t69s0V3R0HEHBAUXLQUH+xMVaNjxiStTodDpc3WqR\nmpJG+7va8NbbrxIatpPnXxjNpMnP8+y/RgIQF1fQW5KUmMwvG3+nfXvrXZotb5tfH+pRnpMb93JH\niW3u6u/J40sn8tMrn5F6yfZfIKvJ0uJS8CjxWnoEeJKWUHYfb9a1FQPGP8Tise9a7OMAHR7owrEt\nBzAbbXNCS4lLthjm4RngRVo5x6EWXVszePzDLBw7zyJjWuHxIPFyPGf2naRuywY2yVlSUmwSPoHF\nvWfeAd4kxyeXqWvbrS3DJwxn1jOzyM+z/fC0tLjkUtvbi/RyjpdNu7bivvEPsXTsgqLXss19d3Px\naAR5V6+Rd/UaYTuOUb9dY5tkdC+R0T3Aq9xjepOureg3/iE+L5ER4PdP17Hg/ldZPPIdUCDxQmyZ\nda0hPjYB/0DfomW/QF8S4xJvsIYlZxcnFn/zIZ/MX0roYauO6CxiSkpE9SnOqPr4YE5OsqgxJyZy\n7a/dYDJhjovDdPkyumDrfrenMua0JNQSvc2qhzdaenKZGmPoXjCb0JLjMcdfQfUtuJif99sars4b\nT84nr4MC5gTL7zKJ6lfTGtc5mqa1BeoCdliOuUbTtDzgMDAJ+LHs6ha1n2ua1kHTtA71Xere1JOf\nOx5BQP1AfGv7oTfo6TboHg6G7Leoqd+iAePmvcC8MXNITy4ef6c36Hn18+ns+HE7ezftuann+19c\nOR6Jdz1/PIJ90Bl0tBnUmdMhlkNTvOr5F/3etFc7ki5af3hKZZKPnadWfX+ca/ugGnTUHdKJK78X\nX7rOz8zhx5bP83PHifzccSJJRyLZOepDUkIv2DTXkcOhNGxYj7p1gzEYDDz08ANs2rTNombTpm08\n8eRDAAx9cAB/7iz49v2AfsNp3aI7rVt0Z8nir/jg/SUsW7oKJydHXFycAXBycqRXr3s4dSrcapmj\nj5/Hs54/7oXbvNWgTpwptc096xUPbWnSqy3JhdvcwdWJEV9NZuuCtVw6bL1Mt6qLx8/hWy8Ar2Bf\ndAY9HQZ15XiI5fCE2i3qMWLucywe+y6ZyRllHuOuwV05sNE2Q0IAzh8/h3/9AHxqF2TsNKgbR0Is\nr4LUbVGf0fPGsXDMPDJKHIecXJ3RF46pd/GoReMOzYgu8YVsWwk/Hk5gvUD8Co+d3Qd3Z1/IPoua\nhi0a8uL8F3nrmbcsjp22FHU8Ep96/ngV7jt3DupCaKntHdyiHsPnjmXp2AVkldjeqTFJNOrYHFWn\noup1NO54B3HnrD+U4VJhRs8SGU9UkHFZqYyKquDk7gJAYLM6BDary5ldoVbPCHDy6GnqNKhNUJ0A\n9AY9A4b2ZfuWXTe1rt6g5+Pl77Lh+038vvEPm+QDMJ45gz4oGNXfH/R67Hv24tpflufja3t2Y2jb\nDgDF1Q1dcG1MsVXbODVHhaP6BqJ4+YFOj759d4yhlvuL8fhe9E0KOmkUZ1dUvyDMSbGgqOBc8P0V\nNagealB9TKfLDk+9VdSEMdeKovRXFOWsoijnFEV5rYKaRxVFOaUoSpiiKGWnoCmlRg4L0TQtXVGU\nF4GfFUVZUuruD4CdmqYll3vJ728wm8x8MXMpM1fOQtWpbPtuK5cjLjP8lSeIDD3Hwa0HeGr6KByc\nHJm8+FUAkmISmTf2Hbo80I3md7eglnstej7cC4BPJn/MxVPWbSyaTWY2zFzOMytfQ9GpHPpuBwkR\n0fSZ+DDRJ85zeusROj/dj0ZdW2IyGslJz+b7ScUv4dTdH2Pv4ojOoKd5v/b838j5FjONWItmMnPo\n9RX0+nYqik4lcs1O0sOjaT1lGMnHLxBdoqFdniH7F2JwcUS101P7vg5se3x+mZlG/hcmk4nJk97i\np/XL0elUvl71A2dORzB9xsscPXKCzZu2sWrFd3z+xQccPf4HqalpPDPqpRs+pq+vN1+vLniN9Xod\nP3y3kW1brTc1ktlk5teZy3lq5auoOpUj3+0kMSKaXhOHEX3iAme3HqHj0/1o2LUlJqOJ3PRsfioc\nBtTxqX541vWj+4sP0v3FBwFYOXI+2eU0Gm1pypvzOXg0lLS0DHoPHcELY0YybNB9VZoBCl7LNTO/\n5KWVr6PqVPZ8t53YiCsMmvgYUSciCd16iGHTRmLv5MBziwtm3EiJTmLxs+8C4BXsg0eAt9VnjCid\nceXML5iyciaqTuXP77YRHXGZh14ZzoXQSI5uPcjw6U/h4OTAhMWTgeIp94IaBzN67jg0s4aiKvyy\nZJ3FLCO2zLzkjSXM+XoOOp2O39f+zqXwS4ycNJLw0HD2h+xnzOtjcHByYPpn0wFIjEnkrWfesnmu\n72b+H/9eOR1Fp7Lvux3ERVxh4MRHuHTiPCe2HmbotBHYOzkwZvFEAFKjk1j67Hsc3bSPJl1aMn3L\n+2iaxumdxzi57cbHrf814w8z/48XVk5HLZHx/sKMJ7ceZsi0Edg5OTC6RMZlz76HzqDn5e8LXsPc\nrBxWTfwEs8k219lNJhNzp73P0jUfo9OprFv9C5FnL/Dvqc8SdvwMO7bsomXbO/joq3dxda9Fj37d\n+PeUZxna/Qn6D+5D+07tcPdwY+hjAwF4/cW3ORtm5S+Gm01kfvIR7u++j6Kq5GzehCnqIs6jniH/\n7Bny9v5F3sED2HW4C8//WwEmM1mfL0HLKDgeun/0CfradVAcHfFa8z2Z7y8g75D1p9rEbCZ37RKc\nxs8BVUf+3t8xx17C7oGRmKLCMZ3Yj+nUYfR33InTG0vBbOLaT19CdmbBDCGvFM66lHuV3OXvFXy5\nUfxPCochf0rBqIgrwEFFUTZomnaqRE1jYBrQVdO0VEVRfMt/tBKPa5txT/8bRVGyNE1zKbG8kYIv\nLe4CfimcRaRk/SigQ2VT8T1Ud3DN+SMr0FRxqbyomrXMq2kXOsp6IcN2c7xa00venSovqmZvHHq7\nuiPctPEdXq3uCDd0Vbs1xkQmma0/hZu1NdRZfxYmW6j5R0v4I+fmhkxWpz9a2ld3hJvi2NSpuiPc\nlFqLN1u3V/Jviu/Rw+btM78dOyr8mxVF6QzM0jTtvsLlaQCaps0rUbMACNc07Yubfc4a1XNdsmFd\nuFxyssmWpcrRNG05sNy2qYQQQgghxG0oCCg5du4K0LFUTRMARVH2ADoKGuO/3ehBa1TjWgghhBBC\n/DNUxWwhiqI8BzxX4qbPNU37/Prd5cUqtawHGgM9gGBgl6IoLTVNq3BmAWlcCyGEEEKI21JhQ/rz\nCu6+ApT8l9XBFEzzXLpmn6Zp+cAFRVHOUtDYrnBA/q0wLEwIIYQQQtxmNLNi859KHAQaK4pSX1EU\nO2A4sKFUzXqgJ4CiKN4UDBM5f6MHlca1EEIIIYT4x9E0zQiMB7YAp4HvNE0LUxRltqIogwvLtgDJ\niqKcArYDUzRNKzuRfwkyLEQIIYQQQlS5mvAfGjVN2wRsKnXbzBK/a8ArhT83RXquhRBCCCGEsBLp\nuRZCCCGEEFVO02rUtNtWIz3XQgghhBBCWIn0XAshhBBCiCpXE8Zc24I0roUQQgghRJW7ianybkky\nLEQIIYQQQggrkZ5rIYQQQghR5bTS/2j8NvGPaFx30VyrO0KlhrnHV3eESrk1yKvuCJVy2m5f3RFu\nyqsj86s7wm1l0aF3qztCpfI+m1l5UTXb+YlddUeolI/+WnVHuCkrDDX/tezhWLe6I1RK7xpX3RFu\nSth6x+qOcFM6La7uBP8M/4jGtRDivze+w6vVHeGm3AoNayGEEGXJmGshhBBCCCHEDUnPtRBCCCGE\nqHLScy2EEEIIIYS4Iem5FkIIIYQQVe52nS1Eeq6FEEIIIYSwEum5FkIIIYQQVU7GXAshhBBCCCFu\nSHquhRBCCCFEldM06bkWQgghhBBC3ID0XAshhBBCiCqnmas7gW1Iz7UQQgghhBBWIj3XpdTr3ppe\ns0ai6FROrNnBgcUbLe5vM6IXbZ/qi2Yyk3c1l5DXviQ5IgbXYG9G/7GA1MhYAGKOnmPr9K9sktGx\nSwc8X30BRVXJXLeZ9P9ba3G/y+B+eE58FmNCMgAZa34ma91mAHT+PvjMmoTOzwc0jfjxr2OMibdJ\nTkO7u3EaMwFUlWtbfyX3p2/L1Nh16Ynj8FFomobpYiTZC98u8Yc64f7JSvL27+Lqso+tlqtn727M\nnj8NnU7Htyt/YNFHX1hmsjPwn8/m07ptC1JT0vjXM69w5VIMDz3yAM+/+ExRXfMWTejX/WHCTpzh\ntRkv8fDwwbi7u9EouIPVsl6na9QGu4GjQVExHt5G/q6fLTMPeBq1fgsAFIMdirMbV+eORnHzxv7x\nyaCqKDod+ft+w3gwxOr5AFp0b8ujM0ej6lR2r93GliXrLe7vM+YBug7vjdloIislgxVTF5MSnUST\nzi149I1RRXX+DQNZNuEjjv9+0CY5b2TG3A/5c88BPD3cWf/1Z1X+/NfpGrTG7r6RBdv72A7y/7I8\nDtn1fRK1bnPg+vZ25er7/ypR4IjjuHcxnT1E3paVNsno3bMNzec8jaJTufzNH5z/ZEO5df4PdOTO\nLyeyp9900o+fx7G2D/fu+oDsyBgA0g5HcHLqlzbJWJprj3bUmT0GRVVJXL2VuE9/srjf69Ge1J7x\nNPlxKQDEf7WJpNVbbZ7rju5teHjmKFSdyl9r/yBkieX+3WvMQDoP71W073w99TNSo5MAGPLak7Ts\n1Q5FVTmzK5Qf3lr+j85ZU887pbn1aEe9t59BUVUSVm8lZtG6cus8B3amybIpnOg/hezQSBSDnvoL\nxuHSuiGaWSNq5pdk7A2zWU5bM9+mY66rtXGtKMqDwE/AHZqmnSm8rTGwELgDSAMygDc1TftTUZRR\nwHtAdImHeULTtFNWyaMq9JnzNN8/OZ/M2BRGbJxNZMhhkiNiimpOr9/L8a//AKBh3zvp8cYIfnxq\nAQDpUfGsHPC6NaJUTFXxmj6BuH+9ijE+icBvF3F1x17yz1+yKMv+fSfJ8xaVWd1nzqukffEtufuO\noDg62G4Gd1XF6bmXyZw1CXNyIq4LlpJ3YA/mK1HFJQFBOAx7koxp/0bLzkJxc7d4CKcnxpAfdtzK\nsVTmvj+Dx4aOJTYmns3b1/L75u2En40sqnl85DDS0zLocmd/hjw0gBmzJjHumUn89P0v/PT9LwA0\na96Y5d8uIuzEGQB+/207/7fsG/46/JtV8wKgKNgNGkPu8jloGck4jJuH8cwhtMTi3SBv84qi3/Ud\n+6MG1AdAy0old9kMMBnBzh7H8R9gOnMILTPVuhFVlcdnj+GjEW+TGpfCtA3zCA05ROy5K0U1l05d\nYOegV8nPzePeEf0YNm0ky8YvJHxvGHPunwKAk5sLc3Z+wqk/rbvdb9bQ+/vyxLDBTH/7/Wp5fqBg\new94mtxv5qNlpOAwZjbG8MNoScXHobyQb4p+13foi+pfz+Ih7Ho8jPnSGdtlVBVazH+GA4++Q25M\nMl23zCVhy2GywqMtynTODtQb25/UwxEWt1+Nimd379dsl688qkrdd54j/PFZ5MUm03zTAtJ+P0Bu\nxBWLspQNe7g0Y1mVxVJUhUdnP8OiEe+QFpfMlA3zOBFyiLhzxa/l5VMX2TVoGvm5eXQb0Zeh057k\nq/EfU//OJjTo0JS5/Qv2n1d+mE3jTs2J2GeVU+Ktl7OGnnfKy1l/7rOcHv4WebHJtNy0gNQtB8kp\n9V5UnR3wH3M/mYfDi27zfbIPAKG9J6L3cqPZNzM4OWDq7fvfWG5R1T0s5HFgNzAcQFEUB+BX4HNN\n0xpqmtYemAA0KLHOWk3T2pb4sdre6d+2IakX40m/lIg538SZjfto2K+9RU1eVk7R7wZH+yp/Q9u3\nbEr+5RiM0XFgNJL92w6cenS5qXUNDeqg6HXk7jsCgJaTi5Z7zSY59Y3vwBwbjTk+FoxG8nb/gd3d\n3Sxq7PsO4trmdWjZWQV50tOK7tM1aILi5kH+Mev2XrZr34qL5y9xKeoK+fn5/PzjZu67v5dFTf/7\ne/Hd6oJe119+/p17uncq8zgPDhvI+h82FS0fORRKQnySVbNepwY3wpwch5aaACYTphN/ob/jrgrr\n9a27Yjyxu2DBZCpoWAPoDKDYZpev37YRCVFxJF1OwJRv5NDGPbTpZ9mDH743jPzcPAAuHA3H3d+z\nzOO0v78TJ3ccLaqrah3atsLNtVa1PPd1amBDzCnxaGmJYDZhCtuHvkn7Cuv1LTpjDNtbvL5/PRRn\nV0znT9gso/udjbh6IY6cqAS0fBOx6//Cr3/ZKzZNXnuU859uxJybb7MsN8u5XWOuXYzl2qV4tHwj\nKT/vxuO+u6s7FvXaNiIpKp7kywmY8k0c2fgXrftZ7t8RJfadi0cjcPf3KrxHw2BvQG/Qo7czoNPr\nyEhM/8fmrKnnndJc2jUit8R7MbmC92LtqU8Qs3g92rXi46Fjk9pk7AoFwJicjik9G+c2DW2a15Y0\nTbH5T3Wotsa1oiguQFdgDIWNa+BJYK+maUXXFzVNO6lp2vKqyFTL34PMmJSi5azYFGr5eZSpa/tU\nH8bu+oB7pw9n25vFl1zdavswctMcHvvudYLubmqTjDpfb0xxiUXLpoQk9H7eZeqcencj6Pul+L7/\nRsEQEMBQNxhzZha+H75J4NoleEx8FlTbvAUUT29MSQlFy+bkRFQvy5y6wGDUwNrUmrsI1/mLMbQr\nPLgoCk6jXyBnxRKr5/IP8CM6Oq5oOTYmDv8A3zI1MYU1JpOJjIxMPD0tezcGP9SfdT/+avV85VFc\nPdHSk4uWtfRklFplG6YAips3iocv5vMnS6zvheO/38Np8hLyd/1s9V5rAHc/T1JjijOmxqbg7udV\nYX3XR3sTtuNomds7DOrKwQ27rZ7vVqLU8kDLKD4OaZkpKLXKHocAFDcvFHdfzBevXxZWsOv7JHnb\nVts0o4O/J7kltndOTAr2pT4subash2OgFwkhR8qs71jHh65b59Fx3Uw8Ojazadbr7Pw9yYsp/gCc\nF5uMwb/se9Tj/k60CFlIw8+nYBdY8XvYWtzK7DvJuJVz3rmu86M9ObXjGAAXjkQQsTeMdw4uZe6B\npZz+8zjxkdEVrnu756yp553S7Py9yCvxWubFJmMXYLn/OLWsj12gF2lbD1vcfjXsYkFDXKdiX9sX\n59YNsQ8s2wYQ1as6e66HAr9pmhYOpCiKcifQAih7JLb0mKIox0r8OFotkVL2E055HdPHVm7li3sm\n8ee8NXR+cSgA2QlpLO30Mqvun8GOt79h4H9ewM7FetFunNEy5NWde7k8YCTRj/yLnP1H8ZlTcCkO\nnQ6Hdq1I+WApMU/8G0NwAC5D+lk/YwU5Kf1a6nToAoLJfOMlsj6cjfMLU1CcXLDvP5T8w/sxJyeW\nfYy/Hauc1+9makq8xu3atybnai5nT5+zdrwKlPfJu/wrJvrWXTGF7bN442oZyeR8OoWcj15E3647\nOLtVUcTyM3Yceg91Wzfg988tx+i6+rgT1LQOYdU0JKTGKG/fqYC+eWdMZw4Uvdb6Dn0wnTtm0Ti3\niXIjltjeisIds5/i9Kyvy1Rdi09l+53j2dNnGqffXEXbJRPQ2+JYWVq5xyTL92hayCFCO/2LsL4T\nydgVSv2PXqqCWDdxrCx019Bu1GndkG2F+453XT/8GgUxo9PzvN5pHE26tKTh3Xf8c3PW0PNO2Zzl\n3FYyp6JQb9ZoLpUzLj1hzTbyYpNp9dt71J39DJmHzqCZTLZKanOaWbH5T3WozjHXjwMfFf6+pnDZ\ngqIo64DGQLimaQ8V3rxW07TxlT24oijPAc8BDPO4m04ujSsNlBmbQq3A4k+PLgGeZCVU3Mt3ZsM+\n+r4zGgBTnhFTXsFlpvgTF0mPSsCjgT/xoRcqfd7/hik+EZ2/T9GyztcbU0KyRY05PbPo98wfN+H5\n0tjCdZO4duZcwZAS4Or2v7BvdQdZWH+csJaciM67uEdY9fLBnGI5bMKcnIjx7CkwmTAnxGGKuYwa\nGIy+aQv0zVtjP2AIioMjit6AlptDzqrP/3au2Jg4goL8i5YDAv2Jj00oUxMY5E9sTDw6nQ5X11qk\nphZfwhw6bADrf9xEVdEyklHcinvQFDevCnufda26kLex/C+HaZmpmBMuo6vXDFPYfqtmTItLwaNE\nL59HgCdpCWUbeM26tmLA+If44LE3MeYZLe7r8EAXjm05gNl4654orEHLSEFxLT4OKbU8K97eLTqR\n91vxeHtdcCPU2k3Rt++DYucAOj1a3jXyt68td/3/VW5sCg4ltrdjoCfX4ooz6l0cqNUsmI4/zQTA\n3teN9isnc/ip90k/fh5z4bEyI/QCVy/G49wwgPTj562asbS82GTsSvTw2QV4kR9v+R41pRYfOxO/\nCSF4+kibZgJIi0sute94kV7Oeadp11bcN/4hPnpsVtG+0+a+u7l4NIK8qwXD+8J2HKN+u8ZEHjj9\njxEaMY8AACAASURBVMxZU887pRW8F4tfS7sAL/Liit+LOhdHHJvVofmPBV+0NPi403T5NM6Omkd2\naCRRs4onS2ixYS6552OtnrGq3K5Dxaul51pRFC+gF/CFoigXgSnAY0AYcOf1Ok3THgRGAeVfA78B\nTdM+1zStg6ZpHW6mYQ0Qd/w8HvX9cavtg2rQ0WxQJyJLXdJ0r+dX9HuD3m1JvVjQUHX0rIWiFnxC\ncqvjg3t9P9KjLBtt1nAt7CyGOkHog/xBr8e5fw+u7txrUaPzLn65nHp0Ju/CpaJ1VVcXVI+CnkuH\nu9uSdz4KWzBGnEENCEb1Lchp160X+Qf3WNTk79+NoVU7AJRabqiBtTHHx5D90RzSn3uU9H8N5+ry\nJVzbscVqB7hjR05Sv2FdatcNwmAwMGTYALZs3m5Rs2Xzdh59vOCKxAND+rH7z+KGqKIoPDDkvipt\nXJujI1G9AlDcfQp6XVp1wXjmUJk6xTsAxcEZ8+XiL78orp6gNxQsODijq9MUc4kvxlnLxePn8K0X\ngFewLzqDng6DunI8xDJj7Rb1GDH3ORaPfZfM5Iwyj3HX4K4c2PjPHhICYI45j+rpX7C9VR26Fp0w\nhpe9oKd4Fm7vK8VfFry2fgk5n7xMzqKJ5G39FmPoLqs3rAHSj0bi3MAfxzo+KAYdAUO7EL+l+PK1\nMTOHrc2fY8ddE9hx1wTSDp8raljbedWCwmOlY11fnBv4czXKNjMWlZR9LAL7+gHY1fZFMejxHNKN\n1FIz0hh8i4c5uPe7i9xzV0o/jNVFHY/Ep54/XsE+6Aw67hzUhdBS+05wi3oMnzuWpWMXkFVi30mN\nSaJRx+aoOhVVr6NxxzuIs1HmWyFnTT3vlJZ17BwO9QOwL3wvepV6L5oyr3K45SiOdhzH0Y7jyDoS\nXtSwVh3tUB3tAXC7tw2a0VTmi5Ci+lVXz/XDwEpN04rmjlIUZScQDkxTFGVwiXHXTlUVSjOZ2fbG\nCoatmoqqUzmxdifJ4dF0fWUYcScuEBlyhHaj+lG3WwvM+SZy07PZ/MpSAII7NqPrpGGYjSY0k0bI\n9K/ITc+2fkiTmeR5i/BfMg9Ulcz1W8iPjML9hafJCwvn6s69uD4xFKcendGMJswZmSS98V7BumYz\nKR9+TsDnC0BRuHYqgkxbNRLNJq4u+4hab75fMCXStk2YLl/E8fFnMJ47Q/7Bv8g/egBD27tw+88K\nNLOZnBVL0DLLNrqsyWQyMX3KO6z+cRk6ncqar9cRfuYcU6aP5/jRMH7fvJ3Vq37kk6Xv8teR30hL\nTWPcM5OL1u/UtQOxMfFcirI8mM14axIPPjwQRycHDof9wberfuSD+Z9aJ7TZTN4v/4fD06+DqmI8\nsh0t4QqGXo9ijonEdKagUaNv1Q3jib8sVlV8gnDo/xQaGgoK+Xs2osVftk6ukhFNZtbM/JKXVr6O\nqlPZ8912YiOuMGjiY0SdiCR06yGGTRuJvZMDzy2eBEBKdBKLn30XAK9gHzwCvG0yy8F/Y8qb8zl4\nNJS0tAx6Dx3BC2NGMmzQfVUbQjOT99sKHB6fWrC9j+1ES4rG0H0Y5pgLmCIKGtr6lp0xhu2r2mzX\nI5rMhE37irvXTAedypXV28k6e4XGUx8h/fh5ErYcrnBdz0530HjqI2gmM5rJzMmpX5CfZoNjZWkm\nM5dmLKPpt2+CqpK0dhu54ZcJnPw4V4+fIy3kIH7PDMS9311oJhPGtCwuvPyJzWOZTWa+m/l//Hvl\ndBSdyr7vdhAXcYWBEx/h0onznNh6mKHTRmDv5MCYxRMBSI1OYumz73F00z6adGnJ9C3vo2kap3ce\n4+S2ykZW3sY5a+h5pwyTmYuvf0Gzb2ei6FQS1mwjJ/wywVOGk308ssyHvpIMXm40Wz0TzBp5ccmc\nm/CfKgxufdU1bMPWlNLjdavkSRVlBzBf07TfStz2IgXT730MfAg0A+KBTGCBpmlbK5iK7wVN0yxb\nFKW8X2dEjb/wMMzD9j03f5dbg+qZweG/0WJ7FYyXs4JzE1pWd4RKvbKqxu82ACw69G51R7gpeZ/N\nrO4Ildr5ibHyomrmo7fNDEfWtsJgV90Rbguz28VVXlQDhO+3/ZdfraFTzE81qjV7quFAm59omkf+\nWuV/c7X0XGua1qOc20p+/Lq/gvWWA8ttEkoIIYQQQlSZ2/WfyFT3PNdCCCGEEELcNuTfnwshhBBC\niCpXXf/kxdak51oIIYQQQggrkZ5rIYQQQghR5WSeayGEEEIIIcQNSc+1EEIIIYSocjJbiBBCCCGE\nEOKGpOdaCCGEEEJUOZktRAghhBBCCHFD0nMthBBCCCGqnMwWIoQQQgghhLgh6bkWQgghhBBV7nad\nLeQf0bh2uQUuO3h1qO4ElVM9Pas7QqV0O5OrO8JNUbw8qjtCpa5qidUd4bZiN252dUeoVN9xcLj1\n5OqOcUPODnnVHeGmXDXpqjtCpTwxVHeESsWfdK7uCDfloM6puiPclE7VHeAf4h/RuBZC3L7yPptZ\n3REqdSs0rIUQoqrJbCFCCCGEEEKIG5KeayGEEEIIUeVu1zHX0nMthBBCCCGElUjPtRBCCCGEqHK3\nwHwT/xNpXAshhBBCiConw0KEEEIIIYQQNyQ910IIIYQQosrJVHxCCCGEEEKIG5KeayGEEEIIUeXM\n1R3ARqTnWgghhBBCCCuRnmshhBBCCFHlNG7PMdfSuC6ldo/WdJ01EkWncnr1Do4t3mhxf/MRvWjx\ndF80k5n87Fz+fO1LUiNiUPU6ui8Yi3ereqg6lfAfd3P0040VPMvfo2vZAYfHX0BRVPJ2bSZv89oy\nNfoO92I/5CnQNMyXz5OzbB66pm1wGP58UY0aUJucpe9gPPqXbXI2bYf94DGgquQf2Er+9p8s7rcb\nNBpdo1YAKAZ7FBc3smeOAMBh7Bvo6jTFdOE0uV+9Y9VcPXp35a25r6HT6Vi96kc+/fhLy1x2Bj5a\nMo/WbZqTmprG889M5srlGB58eCDjJowuqrujRRP693iEUyfPMuShAUx45Vk0DeLjEpjwr9dITUmz\nWma1bgvsuj8Kqorx5G6Mh7ZY3G+49xF0tZsWLOjtUJxqkbNkImpwk4L1Cike/uRtXoYp8rjVsl3X\nqns7Rr75DKpOZcearfyyZJ3F/f3HDqLH8D6YjCYyUzJYNuVTkqMTAVhx/nsun7kEQHJMEgvHzrN6\nvut0DVpjd99IUFSMx3aQ/5flfmrX90nUus0BUAx2KM6uXH3/XyUKHHEc9y6ms4fI27LSZjkrMmPu\nh/y55wCeHu6s//qzKn/+69x6tKPe28+gqCoJq7cSs2hduXWeAzvTZNkUTvSfQnZoJIpBT/0F43Bp\n3RDNrBE180sy9obZLKfzve3xf+M5FJ1K6trfSV76veXfMawPfq8+gzE+GYCUVRtJ++53DIE+BC+Z\ngaKqoNeRunIjqas32yRjy+5teWLmaBSdyq6129i0ZL3F/f3GPMC9w3tjMprJTMngq6mfkhydBIBn\noDej5j+PZ6AXaBoLR88l+UqiTXKW1LR7G4bMfApVp7J/7Xa2L9lgcX/nJ/vQZWRfzGYzedm5/DDt\nC+LPRds8l/M97fGb8S8UnUrad1tI/rzU9n6oD76vjsEYX/D6pa76hbTvi4+nqosjDTYvJTNkL/Gz\nl9gsZ50erbm3sK1xavUODpdqa7Qc0YtWJdoafxS2NZoM7cKd4wYW1XnfUZs1A2aQdOqSzbKK/16N\naVwrimICTgAGwAisAD7SNM2sKEoPYLKmaQ8oiuIHfAnULqy9qGna/VbJoCp0m/M0vzwxn+zYFB76\nZTZRIYdJjYgpqolYv5dTX/8BQN2+d9J55gg2jVxAgwfuRmev5/u+09A72PHYH+9y7ue9ZF5Jska0\nkiFxfHIC2R+8ipaahPMbizAe24s5tnjHUn2DsB/4ONnzXoarWSi13AEwnT1O9lvjCoqca1Fr3nKM\nYYetm69ETvsHnyPn81lo6ck4vrgAY9gBtIQrRSV5G78q+t3Q9X7UwAZFy/k71pNvsMfQ6T6rxlJV\nlTkLZvDEQ88SGxPHr9vW8vtv24k4e76oZviIh0hPy6Bbh/sZ/NAAps96hRfGTGbdD7+y7odfAWh2\nR2O+/OY/nDp5Fp1Ox1vzXqNn5yGkpqTx+qxXGP3sE3z47mLrhFYU7Ho+zrWfPkLLSsXh8WmYzoei\npcQWleT/+T35hb/r2/RE9a0NgPlKOLnfzCm4w94Jx9FzMEWdsk6ukhFVlafffpZ3n3yLlLhkZm9Y\nwJGtB4mJKN7eUWEXmPnAFPJy8+g94j6GT3uKT8d/AEBebh4z7p9k9VxlgyrYDXia3G/mo2Wk4DBm\nNsbww2hJxft4Xsg3Rb/rO/RF9a9n8RB2PR7GfOmM7bNWYOj9fXli2GCmv/1+tWVAVak/91lOD3+L\nvNhkWm5aQOqWg+SU2N4AqrMD/mPuJ/NweNFtvk/2ASC090T0Xm40+2YGJwdMBc0G/05CVQmY9TxR\nT88gPy6JBusWkrltH3nnLluUZfz6J3FvWX5QyU9M5eIjk9DyjChODjTcvJjMbfsxJqRYNaKiqoyY\nPZYPRswmJS6FmRvmcyzkEDHnil/LS6cuMHvQq+Tl5tFjRD8emTaSz8YvBGDshxP4ZdGPnNodir2T\nA5rZ9qNYFVXhwdmj+XzEXNLjknlpwzucCjls0Xg+8vMe9n6zFYDmfdoz6I2RfPH0fNsGU1X8Z73A\npVGvkx+XRP0fPyLzj/K3d0UNZ5+Xn+LqwZM2jamoCj3mPM36J+aTFZvCY7/M5nyptsbZ9Xs5WdjW\nqN/3Tu6ZOYINIxcQvv4vwtcXdIh5NQtm4Bev3NINa/Nt+l9katKY6xxN09pqmtYC6AvcD7xZTt1s\nIETTtDaapjUHXrNWAN+2Dcm4GE/mpUTM+SYiN+yjXr/2FjX5WTlFvxuc7ItPCBroHe1RdCo6BztM\n+UbyStRai65BU8wJMWhJcWAykn9gB/p2XSxqDPcOIO+PDXA1qyBaZtkeVEP7ezCeOAh516yeEUCt\n0xhzUixaSjyYjBiP7Ubf4u4K6/Vt78F4bFfRsuncCbhm/devbftWXLxwiUtRV8jPN/LzT5vpN6CX\nRU2/+3vx/ZqfAfj159/pdm/HMo8zZNj9/PxjQS+WoigoioKTkyMALrVciI9LsFpm1b8+WnoCWkYS\nmE0Yww+ha9imwnpd07swnj1Y9vbG7TFdPAnG/HLW+nsatm1E/MVYEi/HY8o3sm/jbtr3tdzep/ee\nJC83D4BzR8PxDPCyeo7KqIENMafEo6UlgtmEKWwf+ibtK6zXt+iMMWxv8fr+9VCcXTGdP1EVccvV\noW0r3FxrVdvzA7i0a0TuxViuXYpHyzeS/PNuPO4ru3/XnvoEMYvXo13LK7rNsUltMnaFAmBMTseU\nno1zm4Y2yenYpgl5UTHkX46DfCPpv/xJrT6dbm7lfCNanhEA1c6Aotrm8nWDto1IiIoj8XICpnwj\n+zfuoW2/uyxqzuwNK9p3zh+NwMO/YN8JbBSMTqdyanfB63ntam5RnS3VaduI5Kg4Ui4nYMo3cWzj\nXlr062BRc63E+c+u5LnShhxbW27vjF//pFbvzje9vkOLRui83MnefcSGKcGvbUPSLsaTUdjWCN+w\njwY3aGvoK3j9mgzpQviGvWVuF9WvJjWui2ialgA8B4xXFKX0ES0AuFKiNtRaz+vs70FWTHGvRFZs\nCs7+HmXqWjzdh8d3f0Cn6cPZM7PgsvD5Xw9gzLnGU4cXMWL/RxxfuolradnWilZEcffGnFJ8yU9L\nTUJ197aoUf2DUf2CcHrtI5ym/wddyw6lHwbD3T3I37/d6vmKcrp6oqUV99pr6ckobuU3phR3HxRP\n34IGtY0FBPgSGx1XtBwXE09AgK9FjX+JGpPJREZGFh6e7hY1gx7sz88/bQLAaDQyffLbbN2zjsOn\nttO4aQNWr7IcAvN3KM7uaJmpRctaZiqKs3v5tbU8Ud28MV8u27Oqb9qh3Ea3NXj4e5ESm1y0nBKb\njIe/Z4X13R/rTeiO4hOYwd6OtzYu4M1182nfr+IPYX+XUssDLaN4H9cyU1Bqld3HARQ3LxR3X8wX\nrw9ZULDr+yR521bbLN+tws7fi7yY4u2dF5uMXYDl9nZqWR+7QC/StlpeHbsadrGgIa5Tsa/ti3Pr\nhtgHWh7DrEXv50V+bPFxyBiXhMGv7HGoVv+uNPh1EcGLpqEPKM6iD/Cmwa+LaLx7OUlLf7B6rzWA\nu58nKTHFGVNjk/Hwq3jfuefRXpzYcRQAvwYBXM24yr8/m8Kbv77HI9NGFgxjsTE3Pw/SSmz/tNhk\n3PzK7kddRvbltZ0f8cBrT7B+1gqb59L7e2Essb3z45LQl7O9Xe/rSv2NnxL0yXT0/oXbW1HwnTaW\nhHe/LFNvbeW1NVzKaWu0eroPT+3+gK7Th7NzZtkhaI0HdST851u7cW1GsflPdaiRjWsATdPOU5DP\nt9RdnwJfKoqyXVGU1xVFCbTak5Zpx5f/YTtsxVZWd5vEvnlruPPFoQD4tm2AZjKzqsMEvunyCm2e\nu59adXysFu1GGaFUSFWH6hfE1fcmkfP5XByffgUcnYsfws0TNbg+xrBD1s93o5wV9Fzo23bDGLoX\ntCqYlKfcbayVKrlxTbv2rcjNyeHs6XMA6PV6Ro5+jP7dH6F9856cCQtn/MSxVsx886W6pndhjDhS\n9rV2ckX1CsIcZZuxreW+KyvoqOry4L3Ub9WIX5cWjyt9ufNzvDloKotfXMiTM5/Bt46fTXKWv/+U\nT9+8M6YzB4r+EH2HPpjOHbNonP9jVXYYUhTqzRrNpbeWlylLWLONvNhkWv32HnVnP0PmoTNoJpON\ncla+vbO27edc99GcHzie7D3HCHrvlaL7jLFJnB84nnO9nsX9od7ovMr/UPv3IlZ+TLqu09B7qNe6\nIb99XnBlTdXpaHxXM757ZwVvD34Vnzp+dHu4h9UzlnGT58q/VoUwv/vL/Dr/W/pMeND2ucp7Y5YK\nlvXHfs71HMWFQf8m+69jBC4oGI7m8eRAsnYewhhn5aGc5aW8ydfvxIqtrOw2ib/mreGuwrbGdX5t\nG5Kfk0fK2StlVxTVrsY2rguVeQdqmrYFaAAsA5oBRxVFKdOKVRTlOUVRDimKcmhXVsRNPVl2bAou\ngcU9Bi4BnlyNT62w/tzP+6h3X8GlnEZDu3BpRyhmo4nc5AziDoXj27pBhev+r7TURFTP4j9X8fDG\nnJZcqiYJ47G9YDKhJcVhjr+C6hdUdL/hru4Yj+wBW53QKOypLtGjrrh5Vdgo0bftZjEkxJZiY+IJ\nCPIvWvYP9CMuLrHCGp1Oh6urC2mp6UX3D35oAOt/LP5iU4tWzQCIulgwrm/j+i10uLut1TJrWWkW\nvatKLQ+07PK/LKlv0gHT2QPl3x55DGw0HjMlLtlimIdngBdp8WW3d4uurRk8/mEWjp2HsfCSO0Ba\nQsF+lng5njP7TlK3pfX3HQAtIwXFtXgfV2p5WlwVKEnXopPFkBBdcCP0HfriOH4hdn2eQN/6Hgw9\nH7NJzpouLzYZu8Di7W0X4EVeXPH21rk44tisDs1/fJt2+z/D5c4mNF0+DefWDcFkJmrWV5zoO4nw\n0fPRuzmTez62vKf524xxSRhK9kT7e5Mfb3m8NKVlFg3/SF27BYeWjco+TkIK1yIu4XRXC6tnTI1L\nxrNEz71HgFfR/lBS866teGD8MP4zdn7RvpMal8ylUxdJvJyA2WTm6O8HbLbvlJQel4J7ie3vHuBF\nRjmZrzu2cS8t+pa9gmptxrgkiysPBn/vMlcbSm7vtLW/FW1vx3Z34DniARpu/wrfV8fg9mBvfCaP\nsknOrHLaGtk3aGuE/7yPBvdZDhtpPKQTEbd4rzUUzBZi65/qUGMb14qiNABMQJnBq5qmpWia9q2m\naSOBg8C95dR8rmlaB03TOtzj0vimnjPh+Hnc6vlTq7YPqkFHw8GduBhiOfbKrV5xj1rd3m1Jv1gw\nfCArOpmgrgUHXr2jPb7tGpF6LgZrM104i+oXhOLtDzo9hrt7FDSkS8g/ugdd04IxuYqLK6pfEFpi\n8clLf3dPmw4JATBfjkD1DkDx8AWdHn3bbphOlR2SoPgEoji6YI46a9M81x0/cpL6DepQu04QBoOe\nIQ8NIOQ3y9ciZPN2Hhk+BICBQ/qxZ9f+4ryKwgND+rHhp+LGdVxsPI2bNsTTq6ABfE/PzkSEn8da\nzHEXUdx9UVy9QNUVNpTLzvahePiBgxPm2LLPXTAOu2yj21rOHz+Hf/0AfGr7ojPo6TSoG0dCLLd3\n3Rb1GT1vHAvHzCMjufjDipOrM3q7gu9Wu3jUonGHZkRHWH4ByVrMMedRPf1R3H1A1RU0oMPLjq9U\nPANQHJwxXyn+YH5t/RJyPnmZnEUTydv6LcbQXeRvLztTzz9B1rFzONQPwL62L4pBj9eQbqT+Xry9\nTZlXOdxyFEc7juNox3FkHQnn7Kh5ZIdGojraoTraA+B2bxs0o6nMFyGtJSc0HLt6QRiC/cCgx+2B\ne8natt+iRu9T/MG1Vp+OXCv88pve3wvF3g4A1dUFx/bNyTtv/ZwXjp/Dr14A3sEF+07HQV05Vmrf\nqdOiPk/N/Rf/GTufzOSMEutG4uzmTC1PVwDu6NLS4kvEtnL5eCTe9fzxDPZBZ9DRdlBnwkIsh/94\n1yvuxLijVzuSLsaVfhiryzkRjl29wKLt7TrwXjK37bOosdjevTuSF1mwvWMmvce57qOI7DmahHe/\nJH3dNhLfX26TnPHHz+Nezx/XwrZGk8GduHCDtka93m1JK/n6KQqNB3aU8dY1WI2ZLaSkwp7oz4BF\nmqZpJS+hKIrSC9inadpVRVFqAQ0Bq3xVVjOZ2f3GCgZ+PRVFp3J27U5Sw6PpMGkYiaEXiAo5QstR\n/Qjq1gKz0cS19Gy2T1wKwMkVIfT84Dke3TofFIWz3/1JyhkbNBDMZnK/WYTTxHkoqkre7i2YY6Kw\nH/I0povhGI/vxXTyEPoW7XF++4uC+u+XoWVnAqB4+aF6+mAKt9pQ9QpzXlu/DMdn3yycim8b5vjL\n2PV7HNOVc0UNbUPbezAe211mdcfn30H1DQJ7B5xeX8a17z/FFH7sb8cymUy8MXUu3/ywFFWnY+03\n6wg/E8nkaf/m+NEwQn7bwZqvf+Ljz+ax+9Am0lLTeWHslKL1O3XpQGxMPJeiik9g8XGJLFywhB9/\nXYEx38iVyzFM/PfrfztrEc1M3vY12D/4UsH0cWF70FJiMXQahDkhCtP5gm2pb3oXprNlh/oorl4o\ntTwsGorWZjaZWTnzC6asnImqU/nzu21ER1zmoVeGcyE0kqNbDzJ8+lM4ODkwYfFkoHjKvaDGwYye\nOw7NrKGoCr8sWWe7BoJmJu+3FTg8PrVgWsNjO9GSojF0H4Y55gKmiIITnL5lZ4xh+yp5sOox5c35\nHDwaSlpaBr2HjuCFMSMZNsi6s+pUymTm4utf0OzbmSg6lYQ128gJv0zwlOFkH4+0aGiXZvByo9nq\nmWDWyItL5tyE/9g0Z9xbS6iz/G0UVSXthxCuRVzC5+UR5JyIIGvbfjyfHoxL745gMmFKzyJmasEs\nHPYNa+M3fWzB9XpFIfmLn7gWHmX1iGaTma9nfsErK2eg6lR2f/cHMRFXGDrxMS6eiOTY1kM8Om0k\n9k4OvLC4YAhDcnQSnzz7LprZzNp3VjL5mzdRFLh48jw712y1esbyMq+buZxnV05D0akc/G4H8RFX\nuG/iw1w+cYFTWw/T9el+NO7aCpPRSE56Nmsm2W5auyKF27v2/80pmIrvh9/JO3cJ75dGkHsigqw/\n9uPx1BBq9e6IZjRhSs8k5tUPbZ+rFM1kZucbKxj89VRUncqptTtJCY+m46RhJIRe4ELIEVqP6kft\nEm2NrYVtDYCgjs3Iik0h45Ltp1y0tdv1PzQqFY3tqmrlTMW3CviwnKn4pgCjC2tU4CtN0z640WN/\nVntEzfgjb+CJfvHVHaFSqqdLdUeoVLMvbdeAtKbwmV2rO0Kl/rXw1jhwf/asU3VHqJTduNnVHeGm\nHW49uboj3JCro21mOLK2902O1R2hUp4YqjtCpcYY0isvqgG25lb8JdSaZMLlr2vUf20J8XvM5u2z\nvvFrq/xvrjE915qm6W5w3w5gR+Hv7wHvVU0qIYQQQghhC7frf2issWOuhRBCCCGEuNXUmJ5rIYQQ\nQgjxz3G7jrmWnmshhBBCCCGsRHquhRBCCCFElbtde66lcS2EEEIIIaqcfKFRCCGEEEIIcUPScy2E\nEEIIIaqc+fbsuJaeayGEEEIIIaxFeq6FEEIIIUSVM8uYayGEEEIIIcSNSM+1EEIIIYSoclp1B7AR\n6bkWQgghhBDCSv4RPdePtL1c3REq9c62wOqOUKmXg+OqO0KlUnOzqjvCTcn+9Ux1R6hUktmpuiPc\nlJ2f2FV3hEr1HVfdCW5e+9D3qztCpUznD1d3hEqNGvxddUeoVJZW8/sNc0yG6o5wU9rkX6vuCLck\n+ScyQggh/ieHW0+u7gg35VZoWAshRE0njWshhBBCCFHlzIrMFiKEEEIIIYS4Aem5FkIIIYQQVa7m\nj/r/30jPtRBCCCGEEFYiPddCCCGEEKLK3a6zhUjPtRBCCCGEEFYiPddCCCGEEKLKmW/PyUKk51oI\nIYQQQghrkZ5rIYQQQghR5czcnl3X0nMthBBCCCGElUjPtRBCCCGEqHK36zzX0rguxXDn3Tg/OwFU\nldyQX8n94dsyNXbdeuL4+ChAw3Qhkqz330b18aPW9LdBVUGvJ3fjT1z7bYNNMjbp3obBM59C0akc\nXLudHUssn6fjk33oPLIvmtnMtexcfpr2BQnnonFyd2HEkpcJbt2Qwz/s5Oc3l9skX3nsO96F60vj\nQdVx9Zdfyf56dZkah149cBn9NADGc5GkvTXHJln69u3OgvdmotPpWLF8LR98sMTifjs7O5Z9ytsJ\nBQAAIABJREFU8SHt2rUkJSWNp0aO59KlK7Tv0IZFi+YBoKDwztyP2LhhC/b29vweshZ7O3t0eh3r\n12/mnTkLrZrZ0OFuXF6YgKKq5Gz+lZy1Zd+X9vf2xOmpUaBpGM9HkjnvbQDc5i5Af0dz8k+eIOON\naVbNVZH2PdozbtY4VJ3Kb6t/4/vF31vc/+CzD9J/eH9MJhPpyeksnLyQhOiEKsnm3bMNzec8jaJT\nufzNH5z/pPz91P+Bjtz55UT29JtO+vHzONb24d5dH5AdGQNA2uEITk790iYZ3Xq0o97bz6CoKgmr\ntxKzaF25dZ4DO9Nk2RRO9J9CdmgkikFP/QXjcGndEM2sETXzSzL2htkkY2VmzP2QP/ccwNPDnfVf\nf1YtGQD2hIbz7qpNmM1mHuzRnjGDulvcH5OUypvL1pGamY2bsyNzn38EP083AJ5fsIITkZdp26Qu\niyaNtFlGj55tafj2aBSdStw327i8aH25dd4PdKL5F5M4ct+rZB0/j6LX0eTDcbi0aoCiU4n/fieX\nPyl/XWu4FfYd1x7tCJ71LOhUkleHEL/4R4v7PR/pRdDro8iPSwYgcfkmkteEANBw1Zs4t2tC9sHT\nRI62zfnnultlm9taTfhCo6Io/YGPAR3whaZp8yuoexj4HrhL07RDN3rMamlcK4piAk4UPv8FYKSm\naWkl7p8IzAP8NO3/2bvv+CbqP47jr0vSvfdm79Wyy1CGDJUh/lRUhiggDsABMgVEQEDcCiJucCCI\nyFAUCrIp0BYom5ZR2tKd7p1xvz9S2qQtUDRpQb9PH33Yy30uefdy45vvfXPIOWWP9QY2A5cBeyAV\nWCbL8m9mC6ZQ4PD8K+TOnYpenY7L+6vQHDmILuFqRYlfAHaPjiR3+kTkgnwkF1cA9FlqcqZNBK0G\nbO1wXf4NpUcPImeqzRYPQFJIDFvwDF+OWkxOippJW97ibFgUaRevldec2HyQIz/sBKBlv44Mnjua\nr8csRVOiYcd7P+PTPAjfZoFmzXVTCgXOU14m89Vp6NLS8fzyM0oOHEIbV7FelYEBOI4agfrFych5\n+ShcXS0URcH7HyxgyOBRXLuWwv79W/j99zDOn79YXjPm6eFkZ+fQrm1vHn10CAsXzWTMU5M4e+YC\nPXsMQafT4evrxeHDf7Dt952UlJTw4AMjKCgoRKVSsXPXBnZs30NExHFzhcZp8itkz5iKPiMdt+Wr\nKA0/iC7eaP0FBGD35EiyX5mInJ+PZLT+Cn/+CcnGFttBQ8yT55ZxFUxcNJHZI2aTkZzBR799xJGw\nI8THxpfXXDp9iZcGvURJcQmDRg9i7OtjWfpitcczM4eTaL10LEeHv0Vxkpoe2xeTtj2K/JhrJmVK\nB1sajL+frKhYk8cLr6Zy4L6ZFs6ooOHiZzn3xJuUJqtps20ZWdsjKIpNNC1zsMV33IPkRcWUP+Y9\nsh8AJ+97FZWHCy1+mMPpB6aDXPv9Q8Me7M+IR4Yye+G7tf7a1+n0ehav3sqqGc/g4+7MiHmf0btD\nSxoHeJfXvP/jnwzpGcLQezpw5MwlPlq/g8XPPwbA04N6UlSiYcPuCMuFVChosmQcp4YvpCQ5k/Z/\nLkG9I5LCGNP3W+lgS8C4B8g1er89h3RDsrYiqs9UFHbWdNr3AWmbDlKSkG6BnHfHvhO06DliR7yB\nJllN89/eJSfsKMWxCSZlWVsPkDj38yqLp332Kwo7GzxHDrR4zrviPf8PkCRJCawA+gOJQIQkSVtk\nWT5bqc4JeAk4UpPnrasx10WyLIfIstwGyAQmVpr/JBABPFzp8f2yLLeXZbk5hj9yuSRJ95krlKpp\nS3TJ19CnJoNWS8m+v7Dq2tOkxnbgEIq3/YpckA+AnFP2mUCrNTSsAcnKytCDbQFBIU1QX00hMyEN\nnUZH9NZwWg3oZFJTkl9U/ru1vU35iVVTVEJc5AW0JaUWyXYjVi1boEtMQpdkWK9FO//CpmcPkxr7\nIYMp2LgJOc+wXvXZ2dU91T/WqVMIly9dJS4uAY1Gw4YNWxk8eIBJzeBBA/jhe0Nvx6+/bqN37+4A\nFBUVo9PpALCxsUE2arAUFBQa/lYrFVZWKmQzXuxSNW+JLuka+hTD+ive8xfW3Sttlw8MoXjLr8j5\nZdul0frTHD+GXFhotjy30iykGUlxSaTEp6DVaNm7ZS+hA0JNak6Gn6SkuASA88fO4+nrWSvZXDs0\nofBKCkVX05A1OpI3HcLn/k5V6prNHM7lFVvRF2tqJZcxx/ZNKI5LpiQ+FVmjRb35AG4Du1SpC5o+\ngqRPNyEb7c92zYLI3X8SAK06B11OAQ7BjWstu7FOIW1xcXaqk9e+7vSlRIJ8PAj0dsdKpeL+0Lbs\niTpnUnMpKZ2urQ3rqEurRuyJOl8+r2vrxjjYWVs0o1P7JhRdSaE4Pg1ZoyV900E8BlbdJuvPeIKE\nTzejLzHaJmUZpb0NKBUobK3Rl2rR5RVVWdYc7oZ9xyGkKSVxKZSW7TtZW/bjMqDqvnMjeQdPosu3\nzPozdre857VBXws/t9AFuCjL8mVZlkuBn4CHqqlbCCwDimvyd90JX2gMBwKuT0iS1BhwBOZgaGRX\nS5blE8ACYJK5gig8PNFnVFya1qvTUXqYnvSVAYEo/YNwfns5zu98ilWHih1X4emFy8df4/bNzxRt\n+NHsvdYALj5uZCdVPG9OshoXH7cqdd1G92f63g95cOYINs9fbfYct0Pp5YkuzWi9pqej9DJdr6qg\nQFRBQXh8+gkeq1Zg07WzRbL4+/uQeC2pfPratWT8/H1uWKPT6cjNzcPDw7COO3UOISJyB0cjtvPS\ny3PKG9sKhYLww9uIuxrFX7sOEBlxwmyZFZ6e6NKN1l9GOkrPSttlYCDKgCBcP1yO68efYtWp5icU\nc/P09SQ9qaIXJSM5Aw9fjxvWD3hiAJF7bnqFzWxsfd0pNtp/ipIysfF1N6lxbtMAO38P0sKOVVne\nrp4XPXYuoeuv83Dr2sIiGa19PSg1yliarMbazzSjfZuGWPt7kL0zyuTxwjNxhoa4UoFNkDcO7Rpj\n4187H1zuRGlZufiWDfEA8HZ3JjUr16SmeT1fdkYYhs7sijxLQXEJ2Xm192HUxs+dEqP3uyQ5E2s/\n0/3FoU0DbPw9yKy0TWb8dhhdYQmhJ7+ga9RKElduRZudb5Gcd8O+Y+XrQWlSRvm0JlmNVTXHHrcH\nutFyx0c0/GwGVn61v3/cLe/5v4UkSRMkSYo0+plgNDsAML60kYhRm7Rs+fZA0O2MlKjTxnVZd/x9\ngPHArSeBtcB+oLkkSd7VLVvmGGC+vVSqOvinytVUpRKlfyC5s18m/90FOEyehuTgCBgaPTkvjSVr\nwghs77sfybVqo7dWMgLh34WxrNcr/LH0R+6bXPkCQC2rJnOV0EolqqAA1JNfIXv+QlxmTENydLBA\nlOrWn1y56IY1kREn6NxpAPfeM5TXXnsBGxsbAPR6Pd1CH6RZ02507BRMq1bNzBm66mPVbZcBgWRP\nfZncxQtwmlKxXda66sbQ3aAjv8/DfWjWrhm/fPZL9QXmVu34PqNwkkTLBU9xbv73VapKUrPY3WES\nB/vN4twb3xGycjIqR7vayWi8/iSJBvOfIf7Nb6uUpf20i9JkNW3/fIf6C8aSF3keuewD4H9RdcfG\nyseAKU/eT+T5OIbPWUHU+Ti83ZxRKmvx1Fjt+226TTZe8DSX31xTpcypfRPQ6TkSPIGjXSYS+PwQ\nbOvd7JRp5px3xb5juhHkhEVwuvuznBvwMnkHomnwwcvmz3Erd8t7Xgvk2viR5c9lWe5k9GM8Juim\nR1xJkhTAB8DU2/m76qpxbSdJ0glADbgDYUbzngB+kmVZD2wEHrvJ89xwKLzxJ5XVV5NrFEqfkY7C\ns2IjVXh4oc/MqFJTeuQA6HToU1PQX0tA4W86flnOVKONj8OqVbsave7tyEnJxNW/4hOui58HuWlZ\nN6yP3hpO6/5VLzfVJl1aOkpvo/Xq5YUuw7RXX5eeTvH+g6DToUtOQRufgCrQ/OPCr11LITDAv3w6\nIMCPlGTTL9IlGdUolUqcnZ3IzDQdpnLhwiUKCopo1dq0EZ2Tk8v+/Yfp39/0S1P/hKGn32j9eXqh\nU1fdLkvCy7bLlBR0iQkoA2pxXL2RjOQMvPy9yqc9/TxRp1a9ihPSM4QnJj/B/LHz0ZTWziXk4uRM\nbI32Hzt/d0pSKvYflaMtTi0C6bpxHr0jPsG1YxM6rnkNl+BG6Eu1aLIMPUS5J69QGJeKQ2M/s2cs\nTVZjbZTR2s+D0pTM8mmlox12LerR6peFtD/yGY4dmtH821k4tGsMOj1X53/Dqf5TiXlmKSoXB4ov\n1+z492/k4+5MSmZO+XRaZi7erqZDVbzdnPng5RGsXzSRyY8Zxqw72dvWWsaSpExsjN5vGz/3Ku+3\nQ/MggjfOp0vECpw7NKX16hk4BjfC+389ydx9AlmrQ5ORS27EeRxDLDMM6G7YdzTJaqyNrtRY+Xmg\nSc00qdFl5yGXagHI+HEH9m1rf9jU3fKe/0ckAkFG04FAktG0E9AG2CNJUhwQCmyRJOmmDas6HXMN\n1AesKRtzLUlSO6ApEFb2RzzBTYaGAO2Bc9XNMP6kMqZ+zXZibex5lP6BKHx8QaXC5t6+aI4eNKkp\nPXwAVdv2AEjOLij8g9CnJKHw8AJrw9g8ycERq5Zt0F1LqPIa/1Ri9CU8GvjiFuiF0kpJ8JBunAsz\nvTTs0cC3/PcWfduTEZdi9hy3Q3P+PMqgAJR+hvVq168vJQcPmdSU7D+AdYey9erijCooEG2S+RsF\nUVHRNG7SgPr1A7GysuLRR4fw++9hJjW/bwtj5KhHAHj44QfZu9eQtX79QJRKJQBBQQE0a9aI+KuJ\neHq64+LiDICtrQ19+vTgQswls2XWXjiPMiAQha9h/dn27ktpuOl2WXLwANbBFdulMiAIXXJSdU9n\ncTHRMfg38McnyAeVlYpeQ3txOOywSU3j1o15aelLvDn2TXLUOTd4JvPLOX4Jh0a+2NXzQrJS4jes\nO6nbK/YfbV4RO1tNYE/nyezpPJnsqItEPfUuOdGXsfZwAoXh87xdfW8cGvlSeDXV7BnzT1zEtqEf\nNkHeSFYqPB7qSdaOii/U6fIKiWrzNMe7Ps/xrs+TfyyGC08voeDkJRR21ijsDFdTXO4NRtbqqnwR\n8r+kdaMA4lPUJKZlotFq+fPwKXp1ML3YmZVXgF5vGJn51dZ9DOvVoVYz5p24iF0jP2zrGd5vr2E9\nUO+oGCalyyskvPU4jnaeyNHOE8k9FsuZMW+TH32Z4msZuPZsA4DC3ganjs0oir12o5f6R+6Gfacg\nOhabBn5Yl+07bkPvISfsqEmNyrviirLLgC4UX6z9/eNuec9rg16y/M8tRABNJUlqKEmSNYZ2Z/lo\nClmWc2RZ9pRluYEsyw2Aw8DQO/JuIdfJspwjSdJLwGZJklZiaEjPl2V5yfUaSZKuSJJUv/KyZQ3x\nucB4swXS6yj47EOc33wXFApKdm5DFx+H3cixaGPPozl6CM2xo1i174zLitWg11P4zUrkvFxUIZ1w\nGvsihqsJEkW/rkN39bLZolVE1LN53reMWzMLhVJBxPo9pMYm0v/VR0k8dYVzO6PoPmYATXu0RafV\nUpRTwPqpFbeam3HgY2wd7VBaqWg9oBNfjl5icqcRi9DpyX3/Y9zfXwYKBUW//4H2ShyO455Bc/4C\nJQcPUXIkAuvOnfH87hvQ68n99DPk3NxbP/ftRtHpmDplHpu3rEGpVLJmzXrOnYtlztxXOXbsFNt+\n38nqb9fz5Vfvc/LUHrKyshnz1GQAunfvzJSpL6DVatHr9bzyylzU6izatGnB51+8h1KhQKFQ8MvG\n3/nzj7/MF1qvI3/5h7gseRdJoaB4+zZ0V+OwHzMWbcx5SsMPoYk8inXHzrh9adguC74wbJcAru9/\ngjKoHpKdHe4//kze+8vQRFru7gd6nZ6Vc1ey6PtFKJVKdqzbQXxMPKOnjibmZAxHwo4w7vVx2Nrb\nMvuz2QCkJ6Xz5tg3LZbpOlmn58ysb+jy02xQKkhcu5v8C4k0nf4YOdGXSdsedcNl3UNb0nT6Y8g6\nPbJOz+npX6LJLjB/SJ2euNe/pMWP85CUCtJ+2kVRTAKB056gIPqSSUO7MisPF1qsnQd6mdIUNRcn\nf2z+fDU07Y2lRBw/SXZ2LvcNG8WL40bzyBAL34WhEpVSyaynBvPCO6vR6/UMu7cjTQJ9WPHLTlo3\nDKB3h5ZEnrvCx+vDQIKOzRswe0zFXXWeXvgFccnpFBaX0v+lZcwf/zA92jU1b0idnouzv6LN2tcN\nt2Vbu5vCC4nUn/44eScukbnjxufwpK+30/yjF+m4932QJFJ/2k3Bufgb1v8Td8u+kzD3c5p8Px9J\nqUC9bhfFMQn4TR1B4cmL5IQdxfuZwbj074Ks06HLziduykflizf7ZTE2jQNROtjS5uhXXJ22nLy9\nZrrrU6Wcd8N7/l8gy7JWkqRJwHYMt+L7WpblM5IkLQAiZVn+W/dUlqqMN60FkiTly7LsaDS9FViP\n4QuKD8iyfN5o3vsYbrt3BNNb8aVhuBXf1lu9nnpIrzv+PuXLTvnfuqiOvRJYtz3gNdHk2JW6jlAj\ncT2qfF684zx13r6uI9TI5FKXWxfVMXdl7d6h5+/qeLLubpt3O3SXb9yQu1McHbq+riPcUr6srOsI\nt+RrfXfcCSNfY9m7ypjLvSk/3wF3lq7wReAoi7fPnk38vtb/5jrpuTZuWJdNX+8q+K6a2ilGk3f+\nWVQQBEEQBEH4zxL/QqMgCIIgCIJQ62pwH+q70p1wn2tBEARBEARB+FcQPdeCIAiCIAhCrZPvqBHg\n5iN6rgVBEARBEATBTETPtSAIgiAIglDrxJhrQRAEQRAEQRBuSvRcC4IgCIIgCLVO9FwLgiAIgiAI\ngnBToudaEARBEARBqHV3/D+f/TeJnmtBEARBEARBMBPRcy0IgiAIgiDUOv2/9D7XonEtCIIgCIIg\n1Lp/6xca/xON66I0ZV1HuKW7YdyR0z3udR3hlpxOp9R1hBqxDrSq6wi31DjWua4j1IiXqqSuI9yS\ng21pXUf4V1E26ljXEW6p2+mO7G89s65j3JTMnd9t6O5RWNcRasRDUVDXEYQ7yH+icS0IgiDcmu5y\nVF1HuKW7oWEtCELN/Ft7rsUXGgVBEARBEATBTETPtSAIgiAIglDr7oYhsX+H6LkWBEEQBEEQBDMR\nPdeCIAiCIAhCrfu33opP9FwLgiAIgiAIgpmInmtBEARBEASh1om7hQiCIAiCIAiCcFOi51oQBEEQ\nBEGodeJuIYIgCIIgCIIg3JTouRYEQRAEQRBqnf5f2ncteq4FQRAEQRAEwUxEz3UlNqGdcZ0yCUmh\noGDLNvLWrDWZbz9oIC6Tn0OXngFA/s+bKNyyDQCXSROw7REKkkTx0Shy3l9eK5mb9QrmoXlPISkV\nHF23mz0rt5jMDx3Zj26j+yPr9ZQUFPPLrC9Ju3jN4rmUzUKwGTwWFAo0EbvQ7P3VZL71oKdRNmoD\ngGRtg+TgQsGCp1D4NcBm2ASwsQe9Hs3uDWhPHTJbrj739WTh0tkolQp+WLOB5R9+aZrL2opPPnub\ndiGtyMrM5rmxU0iITwKgZetmvPPBmzg5OaLX67m/72OUlJQy7JEHeXnKc8jIpCSnMWnCdDIzs82W\nWdWmM7YjXjSsy31/ULLtpyo1Vp17YfPQU4CMLuEyRasWo2wRjN2TL5TXKPzqUbhyEdrj5luf17Xs\nFcyj855GoVRwaN1fhK3cbDK/77hBdHuiL3qtjvzMXL6f/hlZ1wz70UMzR9Kmb3skhYLz+0+y4c1v\nzZ6vOs6921NvwTgkhYL0tTtJWbHRZL7H8D4EzRmDJiUTgNRvtpGxdqfFcznc2xHfuROQlAqy1u1A\nvepnk/kuj/TDZ8ZYtKlqADK/20r2+h1Y+XsRuHIOkkIBKiVZa7aStfYPi2Q8eDKGt7/bhl6v5+He\nHRk3pJfJ/KSMLN744ley8gpwcbBj8QuP4ePuAsALy1Zz6lICIc3qs3zqaIvkq4k5i99n38GjuLu5\nsun7z+osh3ufYJouegZJqSD5h11c/WRztXVeg7vS9qupRAyYSV70ZXwe6Um9F4eWz3dsVY+IfjPI\nP3PVIjm9+gTTapHhXJPww24ufbKl2jrfwV3o+NWrHBjwOjnRl7EL8qTX/vfIv2Q4jmZHXeT09K8s\nktGueyfcpxuOlfm//kHON+tM5jsOHYDbK8+iSzfsO7k/bSb/1z+w7RSM+7SKY6VVgyDSZ75F4W7z\nHysBbLt3xv21F0FpyJn7rekx3WHIANxemYAuzXCMzFu3mfxNf2DTKRj3qcY565E+axFFeyyT09L+\nrXcLqbPGtSRJHsCusklfQAekl013AQYBG4GWsiyfL1umE/At0EGW5VJJkhoDYUCILMu5/ziUQoHb\ntJdJnzwNXVo63t+upGj/IbRXTA9URTv3kP3uxyaPWbdtjXW7NqSOHA+A1+cfYdMhmJJj0f841s1I\nComHFzzDF6MWk5OiZvKWtzgbFmXSeD6++SCHfzA0CFr168iQuaP5asxSi+ZCUmAz9FmKvlqAnKvG\nbuLbaM9FIKcllpeU/v5t+e9W3R5A4d8QAFlTQvH6T5DVyUhObthNegdt7AkoLvzHsRQKBUvencvw\nYeNITkrlz93r2fHHbmIuXCqvGTH6UbKzc+jW4X4e+t+DzJn/Gs+NnYJSqWTF58uY9NwMzp6+gJub\nKxqNFqVSyaKls7m362AyM7OZ++ZrjJ0wkneXrvjHeQGQFNiOnkzBuzOQM9NxnLcCzYlD6JPiK/4u\nnwBsBj1J/uKXoTAfyckVAN35aPLfeN7wNA5OOC5djfZMlHlymUSUGL5gLMtHvUV2ipppW5ZwKiyS\nFKPtMOFsHPuHzEJTXErPUf0ZNmsk30z6iIYdmtGoU3MW3z8NgCkbFtA0tBWxh8+aPacJhYL6b00g\n5sn5lCarabVtGdk7jlIcm2hSlrnlIPFzvrBslkq5/Oa/wNUxc9CkZNDo1w/I23WY0osJJmW5v+8j\n5U3TBqEmPYu4x6Yil2qR7G1p/Men5O06gjYt06wRdXo9i1dvZdWMZ/Bxd2bEvM/o3aEljQO8y2ve\n//FPhvQMYeg9HThy5hIfrd/B4ucfA+DpQT0pKtGwYXeEWXPdrmEP9mfEI0OZvfDduguhkGi+dBzH\nhy+iJElNp+1LSN8eSWGMaQeI0sGWoPEPkBMVU/5Y6i8HSP3lAAAOLYNot3q6xRrWKCRaL32GI8MX\nU5ykpuf2t0jdHkV+NTkbjL+frKhYk8cLr6Zy4L5ZlslWnlGB+6zJpD4/A21qBv4/LKdwbziay/Em\nZQU79pK51LTzqzgymqTHDcdKhbMTAVu/pSjc/MfK8pwzJpP24gy0qen4fb+Cor2H0FypnHMPWW+b\n5iyJjCb5yYqc/ptXU3zYQjmFv63OhoXIsqyWZTlEluUQ4DPgg+vTsiyXAk8CB4AnjJaJBPYBr5U9\ntAJ43SwNa8C6VQu0idfQJSWDVktR2F/Y3du9pn8Qko01WKmQrKyQVCp0mVnmiHVTQSFNyLiaQmZC\nGjqNjuit4bQe0MmkpiS/qPx3a3sbZNnyY5wUQU3Qq1OQs1JBp0UbfQBVy843rFcF90QbbThJyBnJ\nyOpkw+95WcgFOUgOLmbJ1b5jO65cjif+aiIajYZNv2xj4IN9TWoGPtiX9WsNPUe/bd5Oz16hAPTu\n24Ozpy9w9vQFALKystHr9UiShCRJ2DvYA+Do5EBKcppZ8gIoGzVHn5aEnJ4MOi2ao3uwat/DpMb6\n3gcp+WszFOYDIOdV7TVXdboX7akIKC0xW7brGoQ0IeNqKuqy7fDY1kO0G2D6fseGn0FTXApA3PFY\nXH09yubIWNlYobJSobK2QqlSkpueY/aMlTm0b0pJXDIl8anIGi2Zmw/gNrCLxV/3VuyCm1F6NQlN\nQgpotOT8tg+nfqE1W1ijRS7VAqCwtkJSWOafPzt9KZEgHw8Cvd2xUqm4P7Qte6LOmdRcSkqna+vG\nAHRp1Yg9UefL53Vt3RgHO2uLZLsdnULa4uLsVKcZnDs0ofBKCsVX05A1OtI2HcLr/qrHykYzH+fq\nii3oizXVPo/Pwz1J/fWgxXK6luUsKsuZtCkcn/s7ValrPnM4l1dsvWFOS7Jp0xxtQhLaaymg1VKw\nfQ/2vWt4Djdi3/8eig5GIBeb/1gJYN2mOdrEJLTXkstz2vXucesFK7Hvdy/FFsxZG+Ra+KkLd+SY\na0mSHIEewDiMGtdlZgPjJUmaDljJsry28vJ/l9LbE11qRaNIl5aB0surSp1dn3vw/v4L3Je8gdLb\nML/09FlKok7g//sG/Lb9TPHhCLRx8VWWNTcXHzdyktTl0znJapx93KrUdRvdnxl7P+TBmSPYMn+1\nxXNJzu7IORnl03JuJpKLR/W1rl5Ibj7oLp2uMk8R2ARJqULOTDFLLj8/b5KuVTxXclIqfn4+lWp8\nSLpmaNzrdDrycvNwd3elUZMGyMDaX75gx95fmPjSOAC0Wi0zprzJ7oObiT6/j2YtmvDjd7+YJS+A\n5OaJnFmxXeoz05HcTNelwjcQpU8gDrM/xGHOJ6jaVD05W3ftjebIX2bLZczFx50so+0wK1mNSzXb\n4XXdhvfh7J4TAFw5Fkts+BneiljF4qOrOLcvmtRLlh+2ZO3rTmlSxTZamqzGyrfqNur2YCitwz6g\n8efTsPavfhs2J5WPB5rkilzalAysfKq+rtP9PWj0+3ICl89C5edZsbyfJ41+X07TA9+SsWqD2Xut\nAdKycvF1r/jA6+3uTGqWaR9H83q+7Iw4A8CuyLMUFJeQnffPrz7929j4ulNitO+UJKmx8XU3qXFs\n0wAbf0/UYcdu+Dw+D3WzaOPa1teNIqOcxUlqbH1N93HnNg2w9XcnLex4leXt6nnRc+dA8CEDAAAg\nAElEQVQSQn+dh1vX5hbJqPT2RJuSXj6tTc1A6e1Zpc7+vp74r1+F1ztzUfpUPcc7DOxNwR+7LZIR\nQOXliTbFuK2RjtK76j5u3/ce/NZ9jueyeTfOud0yx3Thn7kjG9fAMOBPWZZjgExJkjpcnyHLcjbw\nNrAEeNG8L1tNL0+lXt7i/eEkDxtB2qhnKTl6DLc3ZgKgDPRH1aAeyUOGkzx4ODad2mMd0s688aqN\nXF3mqg+FfxfG271eYdvSH+k7+WHL56rBurxO1a4H2tPhIJuOvpKcXLEd/hLFG5bfcNnbTlXN+pIr\nrbBqa2RQKZV0De3AxGen8dD9I3lgcD963huKSqVizLgn6Hfv/whucS/nTl/gpSkTzJK3LFHVhyqv\nDoUShU8ABW9PpfCzt7B7ZgrYOVQ8g4s7isCGaE9HmjGXUcIabocAnYf1pF67xuz63DBe07O+Dz5N\nApgT+gKvhz5Ps+5taNylpUVymqg2s2no7LBIToY+x5n+r5K7/yQNP3y5bnJVkr/rCBd7PcPlQZMo\nOHiCgHemlM/TJmdwedAkLvZ9Ftf/3YfSw9XsEavbHStvA1OevJ/I83EMn7OCqPNxeLs5o1Teqaec\nOnSrY5Ik0XTBGC7OX3PDp3Du0ARdUSkF5xNuWPOP3Wq7lCRaLRjNufnfV5lVkprNXx0mc6DfLM6+\n8R3tV05G5WhXOxkrbayFe8NJfHA0ScOfo/jIcTwXTjOZr/R0x7pJQ4rCLXOsvHFO08mifYe5NngU\nyY9PoPjIMTwXTK+S08rSOWuBvhZ+6sKdeqR7Erg+uv+nsmljDwCpQKsbPYEkSRMkSYqUJCnyh7Sk\nGr2oLi0dpU/FmEGltye6jAyTGn1uLmgMl7sKNv+OdYumANj1vofS02eRi4qRi4opDj+KdRvLNxBy\nUjJxMepNc/HzIDftxsNRoreG07p/1Ut55ibnqpFcKnoMJGd35Nzqe9BUwT3Kh4SUs7HDdszrlOxY\niz4httrl/o6kpFT8A3zLp/38faoM4UhKSsE/wA8ApVKJk7MTWVnZJCWlEn4wgszMbIqKitkVto92\nwa1o07YFAFfjDCe2LZv+pHOX9mbLLGelI7lXbJcKdy/kbLVJjT4rHc3xQ6DTIWekoE9JQOkbWD7f\nqksvtFEHQaczWy5j2Slq3Iy2Qzc/D3Kq2Q6b92jLwEn/Y9X4ZWjLhi8ED+xC3PFYSgtLKC0s4cye\nEzRs39QiOY2VJqux9q/YRq39PNCkmm6juqy88mEW6T+EYd+2kcVzaVMysDLuifb1RJNq+n7rsity\nZa3bjm2bJlWfJy2Tkth47Du3NntGH3dnUjIrhu6kZebi7Wo6vMLbzZkPXh7B+kUTmfxYPwCc7G3N\nnuVuV5KsxsZo37Hx96A0pWLfUTra4tAiiPYb36BbxHKcOzal3ZrpOAVXbIvew3pYtNcaoDg5Ezuj\nnLb+HhQb5VQ52uLUIojQjfPoE/Exrh2b0GnNa7gEN0JfqkWTZRiylnvyCoVxqTg09jN7Rl1qOirf\nih5elY9n+RcXr9Pn5JWfw/M2bsOmZTOT+fYDelG4+yBoLXOsBNCmpaPyNW5reFWTs6Ktkf/rNqxb\nVMrZ3/I5hb/vjmtcl33RsS/wpSRJccA04HGprFtEkqTBgAswEHhHkiT76p5HluXPZVnuJMtyp5He\n/jV67dJz51EFBaD08wWVCrv+fSnaF25So/CouFxne093NGVDP3Qpqdi0DwalApRKbNoH18qwkMTo\nS3g28MUt0AullZLgId04G2b65QbPBhWNyRZ926OOM88Qi5vRJ15E4emH5OYNShWq4J7ozlX9hC15\n+iPZOaKPv1DxoFKF7ajpaI/vQXc6vMoy/8SJY6do1Lg+9eoHYGVlxbBHHmRHpct/O/7YzfAnHwJg\n8EMDObjvMAB7dh2gZevm2NnZolQq6dajMzEXLpGcnEqz5k3w8DBcIr23T3diYy5hLrorF1B6ByB5\n+oJShVWX3oaGtBHtsUOoWoYAIDk6o/ANRJ+WXD7fqmtfSi00JATgavQlvBr44lG2HXYY0p2TYabv\nd2DrBjyxeDyrxi8jX10xhCArKYMmXVuhUCpQqJQ07dqSlIuJlV/C7ApOxGLT0A/rIG8kKxXuD/Uk\na4fpF+ysvCsue7sO6ExxLeQqOhmDdYMArAJ9wEqFy+B7yd91xKRG5VWRy6lfV0rKvuyo8vUwfPcD\nUDg7YtexFaWXzZ+5daMA4lPUJKZlotFq+fPwKXp1aGFSk5VXgF5v6Df6aus+hvXqUN1T/eflHb+E\nfSM/bOt5IVkp8R7WnYztFfuOLq+IA63GE955EuGdJ5EbFcvJp5aRF33ZUCBJeA8JJXWTZRvXOccv\n4dDIF7uynP7DupG6veJco80rIqzVBHZ3fondnV8iO+oikU+9S070Zaw9nKBs/L9dfW8cGvlSeDXV\n7BlLzlxAVS8Alb/hHO4wsDeFe03PIUrPinO4fa9uVb5E6Hh/H4sOCQEoPXMBVZBpzqK9psd045x2\nvbqVtzWuc7i/LwV/3v1DQvSS5X/qwp14K75HgTWyLD93/QFJkvYCPSVJigTeAx6WZfmsJEmbgdfL\nfv45nZ7sdz/B8+O3kRRKCrb+gfZKHM4Tnqb0XAzF+w/h+Pj/sLunO7JOhz43l6wFbwNQ9Nc+bDq1\nx+eHrwCZ4vAIig+Yt2FYHb1Oz+Z53zJ+zSwUSgUR6/eQGpvIgFcfJfHUFc7ujKL7mAE06dEWvVZL\nUU4B66autHgu9HpKtnyJ3di5ICnQRP6FPi0B635PoLt2sbyhbRXcE2206UlB1bY7yoatkOydUHXo\nA0DJhuXok+P+cSydTsfsaYtY+8uXKJUK1n6/kQvnLzJ99mROHD/Njj928+N3G1i+6m3Cj/1JdlYO\nz42dCkBOTi6rVnzLn3/9jCzL7Arbx84dewF47+0V/LrtO7RaLYkJSbz8wux/nLWcXk/RD5/gMHWp\n4VZ8+/9En3QVm2Fj0MXFoD0RjvZ0BKo2HXFc9BXIeorXfY5cYGjASh4+KNy90F04ab5MlSPq9Kyf\n9zUT18xGUio4vH4PKbGJDHr1MeJPXebUziiGzRqFjb0t4z59FYCsaxmsevYdjm87TLPubZi9/V1k\nWebc3hOc3nXjsaVmo9MTP+cLmv/4BigUZKzbRXFMAv6vPUlh9EWywyLwGTsI1wGdkXU6tNn5XHnl\nk1rJlfLmSup9uxBJoSB7QxglsfF4vTKKolOx5O86gvuYoTje1xV0OnQ5+SRN/wAAm8ZB+Mweb7gU\nLkmov9xISYz57x6hUiqZ9dRgXnhnNXq9nmH3dqRJoA8rftlJ64YB9O7QkshzV/h4fRhI0LF5A2aP\nGVK+/NMLvyAuOZ3C4lL6v7SM+eMfpkc7y1+tqGzaG0uJOH6S7Oxc7hs2ihfHjeaRIQNrNYOs0xMz\n62tCfnodSakgae1uCi4k0nD6cPKiL5Gx/eZ3gnDt1pKSZDXFV833Jeob5Tw961u6/DQLSakgce0e\n8i8k0mz6o2RHXyHtJjndQ1vSbPpjyDodsk7PqelfockuMH9InZ7MpcvxWbnEcCu+zdvRXLqK6wtj\nKDkbQ9HecJyeHIZ9726g1aHLzSNj3jvli6v8fVD6elEcZbljZXnOtz/Be4XhmJ6/5U80l6/i8vwY\nSs/GULQvHKcnHsauVzfQ6dDn5JHxxrLyxZV+Pih9vCixdM5a8G/9R2Sk2rhzxC1DSNJ8IF+W5Xcl\nSdoDLJVl+U+j+S8BLYEsQCnL8oyyx52AE8D9sizfcOxAYte+df9H3sLHqT63Lqpj854sresIt9Rk\npYVv32YmFx4OqOsIt/T6bst/ec8cxmju/O3SwfbOzwjQaO3TdR3hlpSNOtZ1hBrb33pmXUe4qSKU\ndR3hllr7Zdy66A4gKe74ZgYA9Y/trKO+3OrNaTDC4ituUdyPtf433xE917Iszzf6vXc18z+u/FjZ\n43lAY4sFEwRBEARBECzi7vhIcvvuuDHXgiAIgiAIgnC3uiN6rgVBEARBEIT/ln/rP38ueq4FQRAE\nQRAEwUxEz7UgCIIgCIJQ6/6tdwsRPdeCIAiCIAiCYCai51oQBEEQBEGodf/OfmvRcy0IgiAIgiAI\nZiN6rgVBEARBEIRaJ+4WIgiCIAiCIAjCTYmea0EQBEEQBKHWibuFCIIgCIIgCIJwU6LnWhAEQRAE\nQah1/85+6/9I4/rDVJ+6jnBLQXplXUe4pY1r7Oo6wi1527rWdYQaGbXLtq4j3FLDu+S61mor67qO\ncEuFujt//wZ4euj6uo5wS91Od6zrCDV2z5mldR3hlh5o/0JdR7iph9R3/vkboJcyp64jCHeQ/0Tj\nWhAEQfh32N96Zl1HqJG7oWEtCHVN3C1EEARBEARBEISbEj3XgiAIgiAIQq2T/6WjrkXPtSAIgiAI\ngiCYiei5FgRBEARBEGqdGHMtCIIgCIIgCMJNiZ5rQRAEQRAEodb9W/+FRtG4FgRBEARBEGrdv7Np\nLYaFCIIgCIIgCILZiJ5rQRAEQRAEodb9W4eFiJ5rQRAEQRAEQTAT0XMtCIIgCIIg1Lp/6634ROP6\nJpr3CuaheU+hUCo4sm43u1duMZnfbWQ/uo/uj16vp7SgmA2zviT14jWL56rfqx295o9GUio489Me\nIj/dajK/7ai+tHuqP7JOj6awmF0zvyIzNonmw7rT8blB5XWeLYP48cE5ZJyNt3hm/97t6LxgNJJC\nwcW1ezi9Ymu1dfUGdab35y/z+wNzUZ+8YvFcPfqEMmPhKyiUSjb+sIWvl39nMr9jaAjTF7xC01aN\nmfH8PMJ+2w2AX6AvH3y1BIVSgcpKxdqvNvDzml8tlrNDrw48O38CCqWCsJ92sOHTDSbzHxo/jAFP\nDkCn1ZGbmctHr31I+rV0AOaveZPm7ZtzLvIsC55ZYLGMLXsF8795T6NQKghf9xc7V242md9n3CC6\nPdEXnVZHfmYuP07/jKxrGQAMnTmCVn06ALD9k184/lu4RXM+Wpbz0Lq/CKuUs29ZTn1Zzu+Ncj40\ncyRt+rZHUig4v/8kG9781iIZ2/QKYcS8Z5CUCvav28W2lZtM5g8YN5h7n7gPnVZPXmYu30xfgbos\no7u/J08vfQF3fw+QZT54ZjHqxHSL5HTrE0LjhYacKT/sImH5pmrrPAeH0urLqRwbOIP86MtIKiXN\n3n8ex7aNkJQKUn/eS8In1S/7T7n3CabpIkPG5B92cfWTzdXWeQ3uStuvphIxYCZ50ZfxeaQn9V4c\nWj7fsVU9IvrNIP/MVYvkvJk5i99n38GjuLu5sun7z2r99a/r3LsTL85/HoVSyR9r/+CnT9ebzG/b\ntQ0vvvE8jVo2YtHExezfdqB83rOzx9G1b1ckhcSx/cdY8cZKi2Ss17sd95adH8+u3UNUpfNjm1F9\naTum7PxYUMxfM78iKzaJZsO60+F50/PjTw9Y7vzo2KsDAfOeBaWCzHVhpK80Paa7PXoffrOeQZOq\nBkC9+ncy1+3AtlVDAha9iNLRHlmnI23FenJ+O1DdSwh16JaNa0mSdMCpstpzwCvA72WzfQEdcP3I\n3QUoMqq/AoyWZTnb6PleBZYAPrIs50iSNBB4u2x2E+Ba2XOcBL4GXpNleXDZssOABYA1oAHmyrJs\nkSOypJB4eMEzfD5qMTkpal7e8hZnw6JMGs/HNh8k/IedALTq15Ehc0fz5Zillohjkqv3ojH8OnIp\n+cmZPLF1AZfDosiMTSqvubApnFPf/wVAw/4duGfuKDY/tYwLmw5xYdMhADyaBzLkqym10rCWFBJd\n3xpD2JNLKUzO5MFtC0jYEUWOUWYAlYMtLccOJP3YRYtnAlAoFMxeMpUJw18mNTmNtX9+zZ4d+7kc\nE1dek3wthTkvL+TpF0eaLJuemsHoIRPQlGqws7dj494f2LN9P+mpGRbJ+fyiF5g7cg7qZDXvb/2A\nI2FHSIhNKK+5fOYSUwa9SklxCQ+MeoBnZj/DsonLANi4aiM2djY8MPJ+s2e7TlJIPLZgLCtGvUV2\niprXtizhdFgkKUb7S+LZON4ZMgtNcSk9R/XnoVkj+XbSR7Tq057A1g1Z9uB0VNZWvLTuDc7tOUFx\nfpFFcg5fMJblZTmnbVnCqUo5E87Gsd8o57BZI/lm0kc07NCMRp2as/j+aQBM2bCApqGtiD181swZ\nFYxaMJ73Ri0gMyWTeVuWciIskqSLieU18WevsGDIDEqLS+k9agCPzRrNZ5M+AGD8+5P5bfkvnD1w\nEht7W2S9hfqGFAqaLBnHqeELKUnOpP2fS1DviKQwJtGkTOlgS8C4B8iNiil/zHNINyRrK6L6TEVh\nZ02nfR+QtukgJQlm/hCgkGi+dBzHhy+iJElNp+1LSN8eSWGMaSeI0sGWoPEPkGOUMfWXA6T+Ymi0\nOLQMot3q6XXSsAYY9mB/RjwylNkL362T1wfDcWjyoonMGDGL9OQMVvz2CYfCDhMfW3EOSbuWzrIp\n7zH8uUdNlm3VsRWtO7VmwoDnAfhw43sEh7Yj+vBJs2a8fn7cNMJwfnz8N8P5MavS+fG08flx3ii2\njF5GzKZDxFw/P7YIZNCXFjw/KhQELHieK6PmoklR02TL++SGHaHkYoJJWfZv+0l6Y5XJY/qiEhKm\nvE9pXDIqb3ea/vYBefuOo88tsExWC/sv//PnRbIsh8iy3AYoBR4vmw4BPgM+uD4ty3JppfpMYGKl\n53sSiAAeBpBlebvR80UCI8umnzJeSJKkYOBd4CFZllsAQ4F3JUlq97f/+puoF9IE9dUUMhPS0Gl0\nnNgaTusBnUxqSoxO/tb2NiBbfiPxCWlMTlwqufHp6DU6YrYeptGAjiY1pUa5rOyqz9X8oe5c2Gy5\n3kFjHu0bkxeXSn5Z5rjNhwka2LFKXcj0Rzm98jd0xZpaydWmfSviryRyLT4JrUbLn5t20mfgvSY1\nSQkpxJ67hL5SA0Wr0aIpNeS0trFCIUkWy9k0pBnJccmkxqei1WjZt3UfXQeEmtScCj9FSXEJABeO\nX8DDz7N83smD0RRZoKFqrH5IE9KvpqIu21+ObT1E2wGdTWpiw8+gKS4FIO54LK6+HgD4Ng3k4pFz\n6HV6SotKuHbuKi17BVskZ4OQJmRUytmuhjlBxsrGCpWVCpW1FUqVktz0HLNnbBTShLSrKaQnpKHT\naDmy9SAhlTKeDz9DaVnGy8djcSvL6N8kEKVSwdkDhkZLSWFxeZ25ObVvQtGVFIrj05A1WtI3HcRj\nYKcqdfVnPEHCp5vRlxjt17KM0t4GlAoUttboS7Xo8sy/jTp3aELhlRSKr6Yha3SkbTqE1/2dq9Q1\nmvk4V1dsQX+DY4/Pwz1J/fWg2fPVVKeQtrg4O9XZ6wM0D2lOUlwSyfEpaDVa9mzZQ48B3UxqUhNT\nuXL+CnrZ9HgpyzLWNtaorFVYWVuhtFKRlZFl9ow+IY3JNj4/bql6ftQYHQtVNzhvN3uoOzFbLHd+\ntA9pSunVZEoTUpE1WrK37sN5QNcaLVt6JYnSuGQAtGmZaNU5qNydLZZV+Htu9wuN+zH0LtdUOBBw\nfUKSpMaAIzAHQyP7drwGLJZl+QpA2f+XANNu83lqxMXHjewkdfl0drIaFx+3KnXdR/dn5t4PGTxz\nBJvmr7ZEFBOOvm7kJWWWT+cnZ+JYTa52T/VjzP736Dn7Cfa+sabK/KZDuhJTS41re183CowyFyZn\nYu9rmtm9dX0c/Ny5tvNErWQC8PHzIjUprXw6NTkNbz+vmi/v782Gv75jR9Rmvl7xvUV6rQE8fD3I\nSKro0VMnZ+Dh43HD+v6PDyBqd5RFstyIq497jfaX60KH9+HsHsN7nXTuKq16h2Bla42DmxNNu7XG\n1ejDgTm5+LiTZZQz6xY5uxnlvHIsltjwM7wVsYrFR1dxbl80qZfMPwzM1cedzKSKbSkrWY2bj/sN\n6+8Z3pdTe44D4NPIj8LcQiZ+No03fn+Hx2YZhmJZgo2fOyVG67IkORNrP9Pt0qFNA2z8PcgMO2by\neMZvh9EVlhB68gu6Rq0kceVWtNn55s/oWyljkhobX9N16dimATb+nqgrZTTm81C3Om1c3wk8fT1I\nMzoOpSdn4OFbs/303LFznAiPZn3kWtZHrSVybxTxlXppzcHB1438yudH36r7d9sx/XjqwHv0mP0E\ne+fV/vnRyscDjdE+rklWY1XNMd3lge40/eNj6n06E6tqjol2wU2RrFSUXk2xWFZL09fCT12o8VFX\nkiQV8ACGIR81qVcC9wHGA5WfBNZiaKQ3lyTJu+ZRaQ1UbjFElj1e3etPkCQpUpKkyJN5f2OYQTU9\nkdV1TB/6LoylvV7h96U/0m/yw7f/OhbKdXLNTlbfM5WDS36i80vDTOb5hDRGW1SKutLlW0uRquvV\nlU0K6DR/FJELfqyVPMavW5l8G1cfUpPSeLTvaAZ3e4yhwx/E3fPGjbR/otrVd4OcvR/uTZN2Tdi4\n6heLZLmhGm6XAJ2G9aReu8b89bnh0HB+/0nO7j7OqxsXMubjl4g7Fotep7NQzFtsi0Y6l+XcVZbT\ns74PPk0CmBP6Aq+HPk+z7m1o3KVlrWS80fsdOuweGrRrzJ+fG8YRK5RKmnZuwfq3VrNw6Ay86vnQ\n89HeZs9oCFrNY8Y5JYnGC57m8ptVGy9O7ZuATs+R4Akc7TKRwOeHYFvvdk4HNc1YzbrENGPTBWO4\nOL9qxuucOzRBV1RKwXnzNwbvJtXvOzU7Xvo38Kd+kyCe6DKSxzuPoH33YNp2bWPmhDfad6rWnVq9\nkzU9p3LoBudHTVEpmRcseH6swbrM3XmU8z3HEfvAS+QfPEHQe6+YzFd5uVHv/SkkTvuoVq6aC7en\nJo1rO0mSTmBoyMYDX9WwXg24A2FG854AfpJlWQ9sBB67jawSVU+D1T0GgCzLn8uy3EmW5U7tnG6n\ns90gJyUTV/+KT5Kufh7kpt34MtaJreG07l/1kqi55Sdn4uRf0fPi6OdOwU1yXdhymMaVLos1Hxpa\na73WAAXJmTgYZbb3c6cwtSKzlaMtri0CGbjhdf53+AO8OjSmzzdT8GjX0KK5UpPS8PGvOKH7+HmT\nnnL7vc/pqRlcunCZjqEh5oxXLiNZjad/RY+6h58nmWmZVeqCewYzfNLjLBq3EG2p1iJZbiQ7RV2j\n/aVZj7YMmPQ/Ph+/zCTjjhW/suzBGXw6+i2QIP1KssVyuhnldPPzIKeanM17tGXgpP+xyihn8MAu\nxB2PpbSwhNLCEs7sOUHD9k3NnjErRY27f0UvlZufB9nVZGzVoy2DJz3Cx+OXlmfMSlETfzaO9IQ0\n9Do9x3ccpX6bRmbPCFCSlImN0bq08XOnNKViu1Q62uHQPIjgjfPpErEC5w5Nab16Bo7BjfD+X08y\nd59A1urQZOSSG3Eex5DG5s+YrDbN6O9BaUrFulQ62uLQIoj2G9+gW8RynDs2pd2a6TgFV6wz72E9\n/vO91mDoqfY2Og55+XmiTlXfZIkKPQd25+zx8xQXFlNcWMzR3ZG0bG/+D6b5yZk4Vj4/pt74/Biz\n+TCNKg1RbPpQKLEWPj9qUjKwMtrHrfw80FQ6puuy85DL9uvMtTuwa1PRjlE42tHwmzdIee97Co9f\nsGhWS5Nr4b+6cDtjrkNkWZ5cNq76lvVAfQxfPJwIUDY2uikQJklSHIaG9u0MDTkDVG69dgDM+22i\nMgnRl/Bs4It7oBdKKyUhQ7pxJsy049yzgW/57y37ticjzvKXZlKjL+Pa0BfnIC8UVkqaDQnlcqXL\nma4NfMp/b3hfCNnGuSSJJoO6cmFr7TWu1Scu49TQF8eyzA0eCiVhR0VmTV4R69u+wMbQV9kY+irp\nxy6x+5n3LX63kDMnzlG/URAB9fxQWam4f1g/9uzYX6Nlffy8sLG1AcDJxYmQzu2Iu2iZL7/ERsfg\n39AfnyAfVFYq7h1yL0fDjpjUNGrdiIlLJrFw3EJy1OYfB3wr8dGX8DLaXzoM6c6psEiTmsDWDXhi\n8Xi+GL+MfHVu+eOSQsLe1REA/xb18G9Rn/P7zftFp+uuluX0MMp58gY5V1XKmZWUQZOurVAoFShU\nSpp2bUnKRfP3bl2JvohPAz88A71RWqnoOqQHJ8IiTGrqtW7IU4uf4+PxS8kzyngl+hIOLg44lY3B\nbNm9DUmxlumByztxEbtGftjW80ayUuE1rAfqHRXrUpdXSHjrcRztPJGjnSeSeyyWM2PeJj/6MsXX\nMnDtaei5VNjb4NSxGUWx5h9ik3f8EvaN/LCt54VkpcR7WHcythtnLOJAq/GEd55EeOdJ5EbFcvKp\nZeRFXzYUSBLeQ0JJ3SQa1xeiLxDQIADfsuNQ76G9ORR2uEbLpiWlE9y1HQqlAqVKSbvQtsRb4HiZ\nGn0Z1wZG58ehoVypdH50MTo/Nqjm/Nh0UFeLjrcGKIyOxbqBP1aBPkhWKlyH3Etu2FGTGpVXxZVQ\n5/5dKL5kuHIiWamov+p1sjb+Rc42sV3eqSx2K76yO4G8BGyWJGklhob0fFmWl1yvkSTpiiRJ9WVZ\nrslXsN8FfpYk6S9ZluMkSWoAzAYevelSf5Nep+fXed/y7JpZSEoFEev3kBqbyMBXHyXh1BXO7oyi\nx5gBNO3RFp1WS1FOAT9NtcythYzJOj175q5m2HfTDbcaWreXzJhrhE55hNRTV7gSdox2Tw+gXs/W\n6DU6inMK2DGl4tvGAV1bkJ+cSW68ZW7NdaPMR+espt+P0w234lu3l5yYawS/9gjq6Csk3mSsoyXp\ndDoWz36PlWs/RKlUsGntb1y6cIUXpz/L2RPn2LPjAK1DWvLh10txdnWiV/+evDBtPP/rNZKGTRvw\n2vyXkGUZSZJYvfJHYs9fskhOvU7PZ3M/483vFqBQKti5Loz4mHhGThlJ7KlYjoYd5ZnXx2Jrb8vM\nlTMBSE9KZ9G4hQAs3fA2gY0DsXWw5Zsj3/LxtI85vs+861yv07Nh3te8uGY2CnygGesAACAASURB\nVKWCw+v3kBKbyIOvPkb8qcuc3hnFQ7NGYW1vyzOfvgpA1rUMvnj2HZRWKl75+U0AivOL+O7VT9Dr\nLDNSTq/Ts37e10xcMxvJKOegspyndkYxbNYobOxtGWeUc9Wz73B822GadW/D7O3vIssy5/ae4PQu\n82+7ep2e7+d9yZQ1c1AoFRxY/xdJsYkMe/Vx4k5d4sTOSIbPGo2NvS0vfjoVAPW1DD559m1kvZ51\nb63htR/eQJIg7vRl9v600+wZAdDpuTj7K9qsfd1wK761uym8kEj96Y+Td+ISmTsib7ho0tfbaf7R\ni3Tc+z5IEqk/7abgnPkbW7JOT8ysrwn5yZAxae1uCi4k0nD6cPKiL5Gx/ebfTXDt1pKSZDXFV9Nu\nWmdp095YSsTxk2Rn53LfsFG8OG40jwwZWKsZ9Do9n8xdwdLvF6NQKvhz3Q6uxlxlzNSniDkZQ3jY\nYZoHN2P+F/NwdHGiW79Qxkx5ivH9JrDv9/2EdA/mi7BVIMtE7I3k8M4jt37R2yTr9Oydu5qh309H\nYXR+7Dr1EdJOVpwfg3q2Rq/VUZJTwM5X6+D8qNOTNO8zGq15E5QKstbvpCQ2Hp9XR1J0KpbcnUfx\nfGYIzv26Iut06LLzSHztIwBcBvXEsUtrVG5OuD16HwAJr31I8VnL37rWEv7P3n1HR1H9fRx/z+4m\npEE66RB6h9ARUIpUEcGOSrM+dhEUBAURERARC4JiBcuPYqMICEF676ETWiCk9162zPPHhiSbQoLs\nJoDfFyfnMDt3Zj+5mXJz987N7TrPtVLRGFNFUTJVVXUpZ91UIFNV1TnllVcUZTWwHPMUegNVVT1d\nbN1cIE5V1Q8LlrdgnnrvQMFyTyyn4nsAeA+wwzwV37uqqv5R0Tf5RvBjN/2ApCCTtrojVMjdNsNg\nrWqO0TYNXGura1/+A4k3i3oa5+qOUCm3wsU5m1vg5AFG59pu1htrMag3f0aAO0/YdlpWaxnY9oXq\njnBNQ6j8Q+bVqYe26j8x/DdaR6y+qU6gUcEP2rx9tjji9yr/nivsuS6vYV2wbmpF5VVVHVzw35/K\nKDu2xHLPEstbgC3Flv/APFZbCCGEEELcwky36cOYtpmjSQghhBBCiP8g+fPnQgghhBCiyt2e/dbS\ncy2EEEIIIYTVSM+1EEIIIYSocqbbtO9aeq6FEEIIIYSwEum5FkIIIYQQVa66/oKirUnjWgghhBBC\nVLlb4e8U/BsyLEQIIYQQQggrkZ5rIYQQQghR5eSBRiGEEEIIIcQ1Sc+1EEIIIYSocvJA4y2skUFb\n3REqtJS46o5Qofu0PtUdoUJPahswNXl3dceo0EtuDao7QoXm5Z2r7giV0tOxbnVHqJAHdtUdoVIy\n1Zv/RqeiVHeE28q6w19Wd4QKLWg3pbojVGizybW6I1RK6+oO8B/xn2hci/+OW6FhLYS4/Q1s+0J1\nR6jQrdCwFrc3mS1ECCGEEEIIcU3Scy2EEEIIIaqcegsMRfs3pOdaCCGEEEIIK5GeayGEEEIIUeVk\nnmshhBBCCCHENUnjWgghhBBCVDlTFXxVRFGUAYqinFEU5ZyiKG+VsX6soignFUU5qijKP4qiVDj/\nqzSuhRBCCCHEf46iKFpgPjAQaA48pihK8xLFDgMdVFVtDfwGzK5ov9K4FkIIIYQQVU6tgn8V6ASc\nU1X1gqqq+cBSYIhFRlXdrKpqdsHiHiCwop1K41oIIYQQQvwXBQCRxZavFLxWnqeBdRXtVGYLEUII\nIYQQVa4qZgtRFOU54LliL32tqurXV1eXsUmZoRRFGQ50AHpU9J7SuBZCCCGEELelgob01+WsvgIE\nFVsOBKJLFlIUpQ/wNtBDVdW8it5TGtdCCCGEEKLK3QR/oXE/0EhRlHpAFDAMeLx4AUVR2gILgQGq\nqsZXZqfSuC4hqGdrur43AkWr4fSSLRyZv9pifbPhvWkxui+q0YQ+K5dtE74j9Ww0Gp2Wuz56Bq9W\nwWi0GsJ/21FqW2vp2LMDL7/3IlqthjVL1rFk/jKL9a07t+KlqS/QoFl9pr30AdvWbC9c939vP0OX\n3p1RNBoObj/IvCkLbJIRoG6P1vScOgKNVsPxpVvYv8CyPloP702bkX0xGU3os3PZ+NZ3JJ81/8Lo\n1TSIu2c+RY2ajqgmlf8NnoIxT2+VXHf3uYsPZ09Gq9Xy4+JlfDJ3ocV6e3t7Fn4zh5CQliQnp/Dk\nqFe5fDmqcH1goB97D6xn1ozPmff5twQE+PHVN3Pw8fHCZDKx6IdlfLVgkVWyXnUrHJfdenXhremv\no9Vq+P2XVXw37yeL9e27hDDh/ddp3LwBb/7fZEL/2gxAkxaNmDx7PC4uzphMJr7+dBF/r9xok4wA\nzXq04aEpo9FoNexatonQL1darO/99CDuGNYbk8FIZnI6P4//ipSoRACGvPUELXu3RdFoOL39KL+9\nt8hmOa9q0qMNQ6aMRKPVsHfZZjZ/ucpi/R1P9KHriL6YTCbys3L5beK3xJ2LKmdv1uPVqw3Np49C\n0WqI/GUTF+atKrOc772daffd6+zsN4m0sAs4Bnlz1/aPyTpvPtdTD57l+PjvbJbTu1cbmk8fWZBz\nM+fLzdmJ9t+9zo5+bxfk9KLH9o/JLMx5zmY5O/bswItTn0ej1bJuyTqWLlhusb5V55a8+O7z1G9W\nn+kvzWD72h2F656d9DSde3dG0Sgc2n6I+e9+aZOMFXlnxly27dyHh7sbK37+qloygPm+02Oq+Vp5\nYukWDpS477Qa3pvWIwuuldm5/FPivtN75lPYF9x3llrxvnOr5rzdqapqUBTlZWA9oAW+V1X1hKIo\n04ADqqquAj4CXIBfFUUBuKyq6n3X2u8t17hWFMUIHMM8TsYIvKyq6i6r7Fuj0G36KNY8PousmGQe\nWDONiA0HST1b9AnBuRW7OfXzJgDq9m1H13eHs3b4bOrf2wmtvY7f+kxE52DPI5s/5NzK3WReSbRG\ntEIajYbXpr/Cm49PICEmka/WfMGuDbu5dPZyYZm4qHg+HPsRj/7fwxbbtmjfnJYdWvJ03/8D4PM/\nP6HNHa0J233UqhnBXJe9p4/ijydmkRGTzOOrp3E+9GDhxQHg9IrdHC2oy/p929Fj8nD+HDkbRath\nwGcv8PeYr0g8dRkHNxdMeoNVcmk0Gj6eO5Wh940iKiqWzdv+ZO3afzhz+lxhmZGjHiY1NY22bXrz\n4EP38t77E3hy1KuF62d++A4bQ7cWLhsMBt6ZOIOwsBO4uDizdftKNm/aYbHPG3GrHJfvzHqDZx95\nldjoeJat/4HN67dzITyisExMVBzvvPY+o1+w6BQgNyeXSS9P4/LFSLx9vFgeuoidm/eQkZ5p1Yxg\nrstHpj3FF8M/IDU2iTdXzeRY6AFiizVGI09GsH3wRPS5+XQf3pehE5/gh5c/o167xtTv0IQZA94E\nYOxv02jUpTln95y0es7iee+f9iRfD59BWmwSr636gJOhBy0az4dW7mT3L+ZfRpr3ac/gySP4dtQs\nm2UCQKPQYtZT7HvkA3Kjk+i2fgbx6w+SGW7ZqNc6OxD8zABSDp61eD37Uhw77i41nayNcj7J3kdm\nkBudRPf1HxB33Tkn2jaiRsMr019iwuMTSYhJZP5f89gVuofLxa7p8VEJzB77MY/830MW2zZv35wW\nHVrwXL/nAfj0j49p06U1YXusf02vyNB7+vL4g/cx6f05Vf7eVykahZ7TR/HnE7PIjElm2OppXChx\n3zmzYjfHCq6V9fq2487Jw1lZcN/p/9kLrLfBfedWzVkVKjMPta2pqroWWFvitSnF/t/nevd5K84W\nkqOqaoiqqm2AicBMa+24dkgD0iPiyLicgElv5NzKPQT3a29RRp+ZU/h/nVONwo80VBXsnGqgaDVo\nHewx6g0WZa2laUgToiOiibkci0FvYNPKLXTr19WiTNyVOC6cuojJZPlxi6qq2NewQ2evw87eDp1O\nR0pCqtUzAviGNCA1Io60gro8s3oPDUrUZX6x+rFzLKrLune1IvFUJImnzDeX3NRMVJN1Pjpq36EN\nFy5cIiIiEr1ezx+//cWgQZbnzT2D+vC/X/4AYMWf6+jR847CdYPu7UvExUhOnSq6CcfFJRAWdgKA\nzMwszpw5h7+fj1Xywq1xXLZq15zLF69w5VI0Br2BdStC6T3gLosy0ZExhJ88V+q4vHQhkssXzQ9r\nJ8QlkpyYgrunu9UzAgSHNCTxUhxJkfEY9UYOrd5F634dLcqc3X0CfW4+ABGHz+Lm61mwRsWuhh06\nOx06ezu0Oi3pCWk2yXlVnZCGJF2KJbkg75HVu2nRr4NFmbxiP097pxrmH7qNubVrSPbFWHIuxaPq\njcSs2IXPgA6lyjV+6xEuzF+NKbd6etVK5oxesbvMnE2qMWeTEtf0Lau20K3fHRZl4q7EcfH0RUyq\nZVPEfE23L7yma+10pCSmVGX8Qh1CWuFaq2a1vPdVPiENSIuII73gWhm+eg/1K7jvUAX3nVs1Z1W4\nCabis4lbrue6hFqA1a4kTn7uZMYkFy5nxSZTu22DUuVajOpDq2cHorXXsfrRGQBcXLOP4H7tGHHo\nC3SO9ux+7xfyUrOsFa2Ql58X8TEJhcsJsYk0a9u0UtuePHSKw7vC+P3gMlAUVixayeVzlyve8F9w\n8XUnI7qoLjNjkvENKV2XbUb2od2zA9Ha6fhtmLku3ev7Air3/zQeR49ahK/ezYGv1lgll7+/D1FX\nYgqXo6Ji6dCxjUUZP3/fwjJGo5H0tAw8PN3JzcllzOvPMfS+Ubzy2jNl7r9OnQBat2nBgQNhVskL\nt8ZxWdvXm9jooqFocdHxtGrX4rr307Jtc+zs7IiMuGLNeIVcfTxIiU4qXE6JSSI4pGG55e94pBcn\ntxwB4OKhs5zdfYIP9i9EQWHbj38Td962wy9cfdxJLZY3NSaJumXk7TqiL3c9MwidnY6vHp9u00wA\nDr4e5BbLlROdjFs7y1y1Wgbj6O9JfOgh6r1wr8U6xzredNs4E0NGDuGzlpOy97SNcrqTUyxnbnRS\nmTkd/D2IDz1M/TJydi/IeWbWMlL2nrF6Ri9fT+Kji13TYxJpWslr+qlDpziyO4zlB5agKAorFq/i\n8rnIije8TVX2vtN6ZB/aFtx3/ii477jV90VFZWix+85BK913btWc4t+7FXuuHRVFOaIoymngW+D9\nsgopivKcoigHFEU5sD3rbFlFSm9T1owsZfzSc2LxRpZ2H8feGUtp9+pQALxD6qOaTPzc/hX+d8dY\nWj93DzXreFf2e6q0sjJW9oEA/2B/6jaqw8MdH+PhDsNo2y2E1p1bWTuimVJWztLFwn7cyA93jmP7\nzKV0LqhLjVaLf4fGrHt1AcsfnEaD/h0I6nb9DbWyY1Wcq4wiqKrKpLfHsGD+D2RlZZcuADg7O/HT\nLwuYOOF9MjKsN6Thljguy6rX69yHV21PZn7xLu+Med9mD7mUlbO8oB2HdqdO6wb887V5jK5XXR98\nGgbwTpcXeLvL8zTu2pIGnZrZJGehSp5Hu34KZVaPMayZ9T/6vHK/bTNB2ZNXFa9IRaHZtJGcmvpz\nqVJ5cSlsbvcyO/tM5NS7PxHy5SvoXBxtlLPMoBbrm08bUU7OVDa1e4UdfSZy8t2faGujnGUfk9dx\nTW8YxLBOT/Box8dp27UNrTq3tHLCW0glz5ejP25k8Z3j2DlzKR1L3Hf+fnUBv1r5vnPL5qwCJlSb\nf1WHW7FxfXVYSFNgAPCjUsbVSVXVr1VV7aCqaoc7nRtVasdZMcm4+HkULjv7epAVW37H+LmVewju\nb/4op9HQrkRuOYrJYCQ3KZ3Y/eF4t65/fd9ZJSTEJFDbr6hx5O3rRVJs0jW2KHLngG6cPHSK3Oxc\ncrNz2bd5P83b2aZxkBmTTE3/orp08fMgK778ujyzqmjYSEZMMlf2niY3JRNDbj4Rm8Oo3TLYKrmi\nomIJCPQrXA4I8CU2Js6iTHSxMlqtllquNUlJTqV9xza89/4Ejp7YygsvPsm4N17g2f8bAYBOp+On\nX+azfNlKVq/aYJWsV90Kx2VcTDy+/rULl338a5MQm3CNLSw5uzix4Je5zJu1kKMHT1g931WpsUm4\n+3sWLrv7eZJWxnHZpFsr+r/8AAufmY0h3zyesU3/TkQcPkt+dh752Xmc2HKEem0rd235t9Jik3Er\nltfNz5P0a5xHR1bvpkXf0sMerC03JhmHYrkc/T3IK3ZM6lwcqNk0kM5/TKHn/nm4tW9I+x/fwLVN\nfUz5BvQp5l8+049eJDsiDucGfqXew1o5HYvldPD3JLdUziC6/DGFXvs/x619QzpUcc6EmERq+xe7\npvt5kRRXuWt69/5dOXn4dLFr+gGatbXxL3w3sRu572TGJBNV4r7jbaX7zq2aU/x7t2LjupCqqrsB\nL8AqXXHxYRdwredLzSBvNHZaGg7pwqXQQxZlatUrGktb9+4Q0i/GApARnURAV/NvjzrHGvi0a0jq\n+VJTJd6w02FnCKgXgG+QLzo7Hb2H9GRX6O5KbRsfFU+bLq3RaDVodVradGlt8SCkNcWGXcC9ni+1\nCuqyyeAuXChRl27BRXVZ/+4QUiPMdXlp21G8mtZB52CPotUQ2KUpyWet8/H7oYNHadAgmLp1A7Gz\ns+OBh+5l7dp/LMqsXfsPjz/xAABD7x/Itq3m+h3YbxitW/SgdYsefLngBz6e8yXfLDTPiPHFglmc\nOXOe+V98b5Wcxd0Kx+Xxw6eoUz+IgDp+6Ox0DBzal83rt1e8IaCz0/HZog9Z9etaNqzeZPVsxV0K\nO493sC+egd5o7bS0G9yVo6EHLMoEtghm2IxnWPjMbDKT0gtfT4lOpGHn5mi0GjQ6LY06NyP2nG2G\nr1wVGXYer2BfPAryhgy+gxOhBy3KeAX7Fv6/We+2JBacR7aUdvg8zvV9cazjjWKnxW9oV+LWF+Uy\nZOSwsflzbOn4Cls6vkLqwXMcHDmHtLAL2HvWBI25P8Sxbm2c6/uSfSmuvLeyak7/oXeUyhna/Dk2\nd3yVzR1fJfXgOQ5Ucc4zYWcICA7AN8gHnZ2Onvf1ZFfonkptGx+dQJvORdf01l1a2Wyo360gLuwC\nbsXuO40ruO/Uu8Z9J8CK951bNWdVUFXV5l/V4ZYec60oSlPMU6dU7tf8CqhGEzsmL+aeX8ajaDSc\nWbaVlPAoOrzxIAlhF7kUeoiWo/sR0L0FJoORvLQsNr9unsbtxKJQes59jof/mYWiKJxZvo3kU9Yf\n+2Yymvh88hfM/mUmGo2GdcvWExF+iSffGMWZsHB2he6mSZvGvP/tVFxcXbijbxeeHDuSJ+9+lq1r\nttO2Wwjfb/wGVVXZv2U/uzdW7iJ+vVSjiU2TF/PAT+PNUw0t20pSeBR3jH2QuGMXuRB6iJDR/ajT\nvQVGvbku148112VeWjaHvl3H439NQ1VVIjaHcXHTEavkMhqNvDHuPf5YsQitVsPPP/3G6VNnmfTO\nGA4fOsa6tf/w0+LlfP3txxwO20RKSipPjX7tmvvsckd7Hnv8fo4fP832XebplKZN/ZjQDVuskvlW\nOC6NRiMzJs5h4dLP0Go1/LnkL86fuchL45/lRNhptqzfTsuQZnz6w4fUcqtJz37deenNZxna43EG\n3NeH9l3a4ubuytBHBwHw9qvvc+ZE5YZzXQ+T0cTyKd/z0o+TULQa9izfQuzZKwx6/WEuH7vAsY0H\nGTpxODWcHHh6wesApEQlsvDZjzi8dg+Nu7Zk0vo5qKrKqa1HOP7PoQre8cbz/jllEc/+OBFFq2H/\n8i3Enb1C/9cfIvLYRU5uPEi3Uf1o1K0VRoOBnLQslo6z/VRsqtHEiYk/0GnpJNBquLJkM5lnrtBo\n/MOkhV0gfv3Bcrf16NKMRuMfRjWaUI0mjo//Fr0NngO4mvP4xEV0WmquvytLtpB55gqNxz9EatjF\nCnM2Hv8wqtGIajRxbPx3NslpMpqYN3k+s36egUar4e9lG7gUfolR40YSfjSc3aF7aNKmMVO/mYKL\na03u6NOFUWNH8kyf59i2ZjshXdvwTehCUFX2bz3Ano17rZ6xMt58dxb7Dx8lNTWdu4cO58WnR/Dg\n4P5VmkE1mtgyeTFDC+47J5dtJTk8ii4F952LoYdoXXDfMemN5KZlsaHEfWdYsftOhJXuO7dqTvHv\nKTfBBN7XpdhUfGAe+TdJVdVrjuZfGDj8pv8ml2Kbnhtruk9jvRkwbGVqcuV68avbbLc7Ki5Uzebp\nrTOVoK31dKxb3REq5HCLfEjYO+emv1Silj3g+6bziX1yxYWq2brD1TMn9vVa0G5KxYVEpbx2+eeb\n6gTqFdjX5hedzVdCq/x7vuV6rlVV1VZ3BiGEEEIIIcpyyzWuhRBCCCHEra+65qG2tVvjs0ohhBBC\nCCFuAdJzLYQQQgghqpzpFnvur7Kk51oIIYQQQggrkZ5rIYQQQghR5W7PfmvpuRZCCCGEEMJqpOda\nCCGEEEJUOdNt2nctPddCCCGEEEJYifRcCyGEEEKIKic910IIIYQQQohrkp5rIYQQQghR5dTbdJ7r\n/0Tjur5eX90RKvSipnZ1R6jQ3R0jqztChd5ck1vdESrlgWY3f13eb6pR3REqRVcrtrojVCjuuHN1\nR6iUHKNddUeokIdndnVHqJQhST7VHeG28eKhadUdoVL0i2ZUdwRxk/hPNK6FEEIIYWlBuynVHaFC\nt0rDWvw7t+uYa2lcCyGEEEKIKqfepo1reaBRCCGEEEIIK5GeayGEEEIIUeVu1wcapedaCCGEEEII\nK5GeayGEEEIIUeVu1wcapedaCCGEEEIIK5GeayGEEEIIUeVkzLUQQgghhBDimqTnWgghhBBCVDkZ\ncy2EEEIIIYS4Jum5FkIIIYQQVU7+QqMQQgghhBDimqTnugTPXm1oMn00ilZD1C+biJi3ssxyte/t\nTJvvxrK330TSwy4A4NK8Ds0+ehadiyOqqrKv/yRMeXqrZ/Tp1Zq200agaDVc+N8WznyxusxyAYM6\n0fXb19g44B1Swi5S+66WtH57GBo7HSa9gbBp/yNh50mr57vKrm0nnJ5+BTQa8jauIfeP/5UqY9+1\nF47DRqOqKsaI82R98n7RSkcn3Ob9SP7e7WR/89kNZenfrydz505Dq9Hw/Q9LmP3RfMsc9vYs+uEz\n2rVtRXJyCo898QKXLl0BYML4l3ly9DCMJhOvvz6ZDaFbAXB1rcXXC+fQokUTVFXl2WfHsWfvQaZM\nHsvTTz1OQmIyAJMnz2Ld35tuKL9dh064vPgKikZDzro15CwrXZc17uqF08jRoKoYLpwnY6a5Ll1n\nzEbXrDn648dInzzxhnJci33HTri8ZP55565dQ/bSMjL26IXzqIKM58+TPqMg48zZ2DU3Z0x723YZ\n4eY6LsvjfGd7fN75PxSthtTl60n6+leL9a4P9KH2hKcxxCUCkPLTX6T+ur5wvcbFkfrrFpIRupu4\naV/aJGOtnm0JnPosaDUkLQklbsHvFus9Hu5NwNuj0ccmAZCwaC1JS0MBaPDTuzi3bUzW/lOcf3K6\nTfJd5di1Ax7jXwSNhsw/15H2wzKL9S739cN9zLMYE8w505euJPPPdTh0aIPHmy8UlrMLDiLhrQ/I\n3rzL6hnr9GzNXVPN1/STS7ZwcIHlNb3l8N60GtUX1WhCn5XLpre+I+VsNI2HdqXd84MKy3k1C2Lp\nwHdIPHnZ6hkB6vZoTY+CnCeWbuFAiZythvem9ciCnNm5/PPWdySfjTZnaxpE75lPYV/TEdWksnTw\nFIw2uD9W5J0Zc9m2cx8e7m6s+PmrKn//qzTBLbDv/RgoGgzHtmPYt85ivV3PR9HWaWJe0NmjONUi\n54tXAVBqemDffxRKTQ9AJe/3z1DTk6r4O7AO0206W4jVG9eKomSqqupS4rUmwELADagBbAd+Bz4s\nKNIQiAJygKOqqo4s2O4z4CEgSFVVk6IoTwKvFWzTHDgDGIG/VVV964bDaxSaznqKQ498QG50Ep3X\nzyRh/QGywqMsimmdHajzzEBSD54t+h61GlrOf5njL80n8+Ql7NxdMOkNNxyprIztZoxm26MzyY5J\nps+694necIiMEhl1zg40eqY/SQfPFb6Wn5zBjpFzyI1LpVaTQO5aMoG/2r1i/YwAGg1Oz40hY+o4\nTEkJ1Jq9kPx9OzFduVRUxC8AhwefIH3iS6hZmSiubha7cHr8afQnwqwQRcPnn33AgHse48qVGPbs\nXsvqvzZw6lTRz++pJx8jJSWNps2788gj9zFzxts8/sQLNGvWiEceGULrkN74+/uwft1SmrW4E5PJ\nxCdzp7F+/WYeHfYcdnZ2ODk5Fu7vs8+/Ye4nC284e8E3QM1XxpA6YRymxATcv1hI/u6dGC8X1aU2\nIADHx54gdcxLqJmZKG5FdZn961KUGg44DBpsnTzlZXx1DCnjx2FKSMB9wULydu/EeMkyo9NjT5Dy\nahkZly9FcXDA8V4bZizIebMcl9fK6Dv1RS6Pfht9bCL1fv+UjE17yD8XaVEsfc22chvO3mNGkr3/\nuE0zBk3/P84+/i76mCSa/DWHtNB95J61zJiyegdXJn9davP4r/5E41gDryf62y5jQU6Pia8Q9/wE\nDHGJ+P/yBdlbd6O/YNn4zNqwleRZX1i8lnsgjOhHnzfvplZNAlYvImf3QatHVDQKPaePYsXjs8iM\nSebRv6ZxIfQgKQWNUoAzK3Zz/GfzL+j1+rbjzinDWTViNuErdhG+wtzY92wayKBvx9qsYX01559P\nmHMOW23OmVwi57HiOScPZ+XI2ShaDf0/e4H1Y74i8dRlHNxsdH+shKH39OXxB+9j0vtzquX9AVAU\n7Ps8Qd6vc1EzUnAY/g7G80dQk2IKi+i3LOPqrx66tr3R1K5TuM7+nqfR71mD6dJJsKsBt2kD9VZW\nVcNCPgc+UVU1RFXVZsA8VVXXFyyHAAeAJwqWrzasNcD9QCRwF4Cqqj8UvCX5ZQAAIABJREFU2yYa\n6FWwfOMNa8C1XUOyL8aRcykeVW8kdsUuvAd0LFWuwVuPEjF/Fabc/MLXPHu2JvPkZTJPmm/S+pRM\nMFn/gPdo24DMiDiyLieg6o1ErtxDQP/2pcq1mPAQZ+b/hTGvKGPq8UvkxqUCkH7mCpoadmjsbfPh\nha5RM0wxUZjiYsBgIH/HJuw7dbcoU6PvYPLW/YmalQmAmpZauE5bvzGKqzv6I/tvOEunjm05fz6C\nixcvo9frWb58JfcNtryp3ze4Hz/9ZO4d/P33NfTu1b3g9f4sX76S/Px8IiIiOX8+gk4d21Kzpgt3\ndu/M9z8sAUCv15OWln7DWcuia9IMY3QUplhzXeZu2YR9V8u6dBg4mNxVf6JmFtRlalFd6g8fQs3O\ntkm2woxNm2GIisIUY86Yt3kTNUpmHDSYnGrMCDfXcVkex9aNyb8UjT4yFvQG0tdso+bdd1R6e4cW\nDdF6upG145DNMjqHNCIvIpb8y3GoegMpq7bj2q9TpbfP2HkUY2aOzfJdVaNlEwyR0RiiYsFgIGv9\nFpx6dr3u/Tj1vZOcnftRc/OsntEnpAGpEXGkX07ApDcSvmoP9ftZXtP1xepK51R2Y6rxkK6Er9pt\n9XzFc6YVz7m6dM78YjntHIty1r2rFYmnIkk8ZW7456Zmotrg/lgZHUJa4VqrZrW891Ua33qoKfGo\naYlgMmI4vQ9tg5Byy2ubdsJweh8AiqcfKBpzwxpAnweG/HK3vdmpVfCvOlRV49oPuHJ1QVXVY5XY\nphdwHPgSeMxGuSzU8PUgL7roo5W86CRq+LpblKnZMhgHf08SQy1vXE4N/FFVlbZLJ9E5dBZ1X7rP\nJhkdfT3IjirKmB2TjGOJjG4t6+Lk70nMxsPl7idgUCdSj1/ClG+b3gPFwwtjYnzhsikpAY2nl0UZ\nrX8gGv8gas74glqzFmDXtuDmrCg4PfkiOYut83G2f4AvkVeKeleuRMXg7+9bbhmj0UhaWjqenu74\n+5exbYAv9evXJTExie++/YT9+9az8KuPLHquX3zhSQ4dDOWbrz/Gzc31hvJrvLwwJhSry8QEtF4l\n6jIwEG1AEG6ffoHb5wuw61D5ho41aL28MBXPmJCApkRGXWAg2sAg3D77Avd5C7DvWLUZ4eY6Lsuj\n8/XEEJNYuKyPTUTn41mqXK3+3ai3ej4B8yah8/UqzFh74jPEf/idTTPa+XqSH10sY0wSdr6lM7oP\nvINmGz6j3lcTsPPzKrXe1rS1vTDEJhQuG+IS0dYuncPp7u74L1+I90eT0fp4l1rv3L8nWes22ySj\ns687mdHJhcuZMcm4lLimA7Qa1YeROz6m26RhbJ3yY6n1jQZ3Jnyl7RrXLr7uZJTM6VM6Z+uRfRi1\n/WO6TxrG1nfNOd3q+6KiMvSn8Ty2Zjrtiw1l+S9SarqjZqQULquZKSg1S9clgFLLA42rF6bLpwDQ\nuPtAXjb2972Iw4gp2PV4CBSlSnKLyquqxvUnwCZFUdYpivK6oihuFW5hblAvAf4E7lUUxe563lBR\nlOcURTmgKMqBNTnnK7tRhesbTxtJ+NSfSq/SanDv3JTjL85j/31TqH1PRzzubHk9kf91RIu/cKQo\ntHlvOGFTfyl3H7UaB9D6nWEcHG/DG3CZQUssa7Vo/QLJmPwamXOn4fzimyhOLtQYMBT9wb2YkhJK\n7+NfRSmdpeRfhSq7TPnb6rRa2rZtxcKFP9KxU3+ysrKZMP5lAL5a+CONm3alfYd+xMbG89HsKTf6\nDZR+ray6DAgkddxrpM+YRs2xb6I4u5TezmYql1EXEEjq2NdI+2AaNcdVdUZuquPyGiHLyGgZMnPT\nXs71Gs3FwS+RtesI/rPHAeD+xCAytx7AEJtYeh82jlgyY1rofo53fZZT/V4jY0cYwZ+8VsZGNlb2\nBdNiMXvrbq7cM4LoR/6P3L2H8Xr/TYv1Wi8P7BvWI2f3ARtFLPvaU9KxxRv5sfs4ds1cSsdXh1qs\n8wlpgD4nn+QzV0pvaC2VzHn0x40svnMcO4vl1Gi1+HdozN+vLuDXB6fRoH8Hgrq1sF3WW1E5Qzu0\nTTthCD9YtF6jRRPYCP3W5eT+PB3F1Rtti25VGNS6TKpq86/qUCWNa1VVfwCaAb8CPYE9iqLUKK+8\noij2wD3AClVV04G9QL/rfM+vVVXtoKpqh0GODSq1TV5MEjX8i3pfavh7khdb9NulzsUBl6ZBdPhj\nCt33z8O1fSNCfnyTWm3qkxuTTMquk+iTMzDl5JO48TA1W9W7nsiVkh2TjFNAUUYnP4/CoR5XM7o2\nDaLnH+9wz75P8WzXkG6LxuHexpzF0c+Drt+/zr5XvyLrUnyp/VuLmpSA1qt24bLG0xtTsuUN35SU\nQP6+HWA0YoqPxRgdicY/EF2TFtS4535cFy7FafQL1OjZH8cRz/3rLFFXYggK9C9cDgzwIyYmrtwy\nWq0WV9daJCenEBVVxrbRcVyJiuHKlRj27Td/OvDHH2toG9IKgPj4REwmE6qq8u13v9CxY/kf91WG\nKSEBrXexuvTyxphUoi4TE8jbXVCXsbEYr0SiDQi8ofe9HsbEBDTFM3p7YyqZMSGBvF3FMkZGog2s\nuoxwcx2X5THEJqIr1str5+uFIT7ZoowxNQO14FOn1GV/49CyIQCObZvhMfxeGmz+gdoTnsb1/rvx\nfmO01TPqY5Kw9y+W0c8TfVz5GRP/twGnVpW7DluTMS4BnW9RT7TOx6vwwcWrTGkZoDePbs34Yy01\nmjW2WO/UrwfZm3eCwWiTjJkxybj4exQuu/h5kBWXUm758JV7qF9iKGCjIV04a8NeazDnrFkyZ3z5\nOc+s2kODgmEjmTHJRO09TW5KJobcfCI2h+HdMtimeW9maoZlT7Xi4o6amVpmWV2TThgLhoRc3dYU\nH2keUqKaMJ47jManTpnbiupTZVPxqaoararq96qqDgEMwLW6dQcArsAxRVEigO5UwdCQ9MPncarv\ni0MdbxQ7Lb5Du5Kwvqi3wpCRw9bmz7Kj4yvs6PgKaQfPcmTkR6SHXSBpcxguzeuicbQ392J3bU5W\nuPV7EVKOXMClni9OQeaMQUO6EL2+6CEbQ0YOq1o8z9pOY1jbaQxJh86xc/THpIRdxK6WE91/eoNj\nM5eRtD/c6tmKM5w9jcYvEE1tX9DpsO/eG/3+nRZl9Ht3YNeqLQBKTVc0/kGY4qLJ+nQ6ac89Qtr/\nDSN70ZfkbVlPzk+lH4qqrP0HjtCwYT2Cg4Ows7PjkUeGsPqvDRZlVv+1gREjHgbgwQcHsXnLzsLX\nH3lkCPb29gQHB9GwYT327T9MXFwCV65E07ixucHQu3d3Tp0y16mvb1HjbeiQgZw4ceZfZwcwnDmN\nNiAQja+5Lh169iZ/t2Vd5u3cgX2bgrqs5Yo2IAhjTHRZu7MJw+nT6IplrNGrN3m7Sme0CymWMbBq\nM8LNdVyWJ+dYOPbB/tgF+oCdjlqD7iLjnz0WZXTeRTfmmnd3Jv+8+UHC6HEfca7HaM73epL4D78j\n7c9/SJizyOoZs8LOUiPYD/ug2ih2Otzvu5O00H0WZXS1izK69utE7jkb9qqWI+/EGXR1AtD5m3/e\nzv17kr3VshGq9SpqMDr1uAP9RcsHAl0G9LLZkBCAuLALuAX7UivIG42dlsb3deFiiWGHrsE+hf8P\nvjuE1IjYopWKQqNBnW063rowZ71iOQd34UKJnG7FctYrlvPStqN4Na2DzsF8fwzo0pTks5YP4f+X\nmGIjUNx9UFy9QKNF17QTxvOlH5JW3H3AwQlT9Pli215EqeEEjuZP/bR1mlk8CHmruV3HXFfJVHyK\nogwA/lFVVa8oii/giXl2kPI8BjyjquqSgu2dgYuKojipqmqzp55Uo4kzE7+n3dJJKFoN0Uu2kHXm\nCg3GP0x62AUS1pf/pLghLYtLX/1F579nAJC48TCJ1xjzfCMZD09axF1LJqBoNVxcupX08ChavPkg\nyWEXidlQ/kNMDZ/qh0s9H5qPuZ/mY+4HYNuwWeQl2eBBPJOR7G8+pea7c8xTnv2zFmNkBI6PPYXh\n3Gn0+3ehP7wPu5COuH6+GNVkImfxl6gZ1s9iNBp5bcw7rF3zP7QaDYsWL+PkyXCmvvsGBw6G8ddf\noXz/w1IWL/qc0yd3kJKSyuPDXwTg5MlwfvttNcfCNmMwGnn1tbcxmUwAvPb6ZH5cPA97ezsuXrzM\n08+MBWDWzHdo06Y5qqpy6dIVXnhxwo19AyYjmV98iuvMOSgaDbnr12K8FIHTqKcwhJ8mf/cu9Af2\nYd++I+7fLgaTiaxviurSbe48tEF1UBwd8fjfr2TMnY3+gJUfyDMZyZj3KW4fzimYLtCc0Xn0U+jP\nmDPm79+HfYeOeHy/GIwmMr/+EjW9IOOn89AVZPRc+isZc2aTb+2MBTlvluOyXEYTse99SdD3081T\n8f22gfxzl/F6bTi5x86SuWkv7iOHUPPuzqgGI8a0DKInzK26fAUZIyd/TcOfp6JoNSQt+4fc8Ej8\nxj1O9tFzpIXuo/aT9+LatxOq0YgxNZOIsUXTFjb+fQY1GgSidXag5b7vuPTmF2Rstf71EqOJ5Flf\n4PPlTPNUfCvXoz9/CbcXRpF3Mpycrbup+dhQnHreAQYjxvQMEqd8VLi5zt8Hra83uQePWj9bAdVo\nYuvkxdz383g0Wg0nl20lOTyKzuMeJP7oRS6GHqL16H4EdW+ByWAkLy2Lja8XzUQU0LkpmTHJpF+2\n7XAl1Whiy+TFDP1pvHnKwIKcXcY+SNyxopx1urfApDeSm5bFhrHmnHlp2Rz6dh3D/pqGqqpEbA4j\nYtMRm+Ytz5vvzmL/4aOkpqZz99DhvPj0CB4cbONZa0pSTeT/8z9qPDgGNBoMx3aiJkVj120IptiI\nwoa2rllnjKdLXAdVlfytv+LwyBsAmOIuYTi6rWrziwopJcee3vAOFcWEeSaPq+YCgcAgILfgtY9U\nVf252DZbgDdUVT2gKIoT5ocfgwuGhFwt8wewTFXVZQXLEUAHVVUrHFwY6vPoTT9PTarm5p9y/O4u\nVd/zdL1qrzlXcaGbQEyPhtUdoUKqqboTVI6uVnUnqFjccefqjlApObnX9WhLtfDwtP2sMtawOsmn\n4kLVzHQLPAf34qFp1R2h0vSLZlR3hAo5vfHtTfVTb+zdwebts/CEA1X+PVu9RaeqanlDTcZeY5ue\nxf6fDXiUUeaBEsvB/y6hEEIIIYQQtnHzd5cKIYQQQojbTnWNibY1aVwLIYQQQogqd7v++fMqmy1E\nCCGEEEKI2530XAshhBBCiCp3uw4LkZ5rIYQQQgghrER6roUQQgghRJVTb5U5X6+T9FwLIYQQQghh\nJdJzLYQQQgghqpxJxlwLIYQQQgghrkV6roUQQgghRJVTZZ5rIYQQQgghxLX8J3qu9SjVHaFCOZqb\nP2N+0s2f0cfZrbojVErsuVrVHaFCwQMN1R2hUk6scKzuCBXar3Wq7giV0kafV90RKuSpyaruCJXS\nQ5tW3REqtNnkWt0Rbit2oydVd4Rbzu065vo/0bgWQgghxK1Hv2hGdUeoFGlYi+KkcS2EEEIIIaqc\njLkWQgghhBBCXJP0XAshhBBCiCpnkp5rIYQQQgghxLVIz7UQQgghhKhy6m06W4j0XAshhBBCCGEl\n0nMthBBCCCGqnMwWIoQQQgghhLgm6bkWQgghhBBVTv5CoxBCCCGEEFYiw0KEEEIIIYQQ1yQ910II\nIYQQosrdrn9ERhrXJXj1akPz6aNQtBoif9nEhXmryizne29n2n33Ojv7TSIt7AKOQd7ctf1jss5H\nA5B68CzHx39XJZn9e7am47QRKBoN55Zs4fj81WWWqzOoIz2/fo01AyeTdPRilWS7yr5TJ2q9+jJo\ntOSsWUPWL/8rVcahV09cnhyNqqoYzp0n7f3pNsnS8+7uTJv5FhqtliU//c78T7+1zGpvx2dfzqRV\nSAtSklN54alxXImM5v6HB/HCK08VlmvWojEDejzMieOn+XX1D/j4eJObmwfAYw88S1JistUyu9zV\nDv93nwWNhpRloSR89ZvFercH78Zv4pPo45IASPpxDSnLNuDQrB4B019E4+KEajKS8MVy0tbssFqu\n4rTN2+Pw8POgaNDv+pv8Db+WKqNrdyf2g4aDqmKKukDuD7MBsB/6FLqWHQHIX7cEw8FtNskI4Nqz\nLcHvP4Wi0RC/ZCPRX/xZZjmPQXfQ+Js3OTbgTbKOnkex01Fv9vO4tG6AalK5NOU70nefsEnGOj1b\nc9fUEShaDSeXbOHgAstzuuXw3rQa1RfVaEKflcumt74j5Ww0jYd2pd3zgwrLeTULYunAd0g8edkm\nOd17hdDg/SdRtBpif/mHyC9WlFnO694uNP92HIf6TyAz7AKKTkvjuc/j0qo+ilZD3K9biZxX9rY3\nyqFrRzzeeBG0GjL/XEf6oqUW650H98N9zHMY4xMByFi2kswV66jRoQ0e414oLGcXXIeEidPJ2bLL\n6hlderQjYMqzoNWQvCyUhC8tz2/3h0qc34vXkLxsAw7Nzee31sUJ1Wgkfv5y0v6yzfkNULdHa3oU\nHJcnlm7hQInjstXw3rQeWXBcZufyz1vfkXzWfE/0ahpE75lPYV/TEdWksnTwFIx5eqtn1AS3wL73\nY6BoMBzbjmHfOov1dj0fRVuniXlBZ4/iVIucL14FQKnpgX3/USg1PQCVvN8/Q01PsnrGirwzYy7b\ndu7Dw92NFT9/VeXvL26cTRrXiqKowM+qqo4oWNYBMcBeVVXvVRRlNPAREFVss8eBbOAUcBpwADKA\n+aqqLlYUJRjYAdRRVdVU7L2OAM+pqrrvhoNrFFrMeop9j3xAbnQS3dbPIH79QTLDoyyKaZ0dCH5m\nACkHz1q8nn0pjh13v3XDMa6HolHo/MEoQh+bRXZMMvesnUbkhoOkFVzQrtI5O9Dsqf4kHDpXpfkA\n0Gio9fprpIx9A2NCAp5ff0Xujp0YL10qLKINDMD5iSdIevFl1MxMNG5uNoqi4YOP3uax+58lJjqO\ntZuWsWHdZs6eOV9Y5rERD5KWlk739gO574GBvD11LC88/QZ//rqGP39dA0DT5o34/pd5nDh+unC7\nl5+bwNEjNmhsaTT4T3ueiyMmY4hNosHKuaRv3EveuUiLYmlrthP97kKL10y5eUSOm0t+RAy62h40\nXP0JGdsOY8rIsm5GRYPDoy+R/fkk1NREnCZ8huHoXkyxRY06xdsf+/6Pkj1nHORkori4AqBt2RFt\nUAOyZ7wEOjucXp+N4cQByM22bkYAjYZ6M57l1LD3yI9JouXa2aSs30/O2SuWxZwd8H36HjIOhhe+\nVvuJPgAcvft1dJ6uNP3lHY4PHA9W7nlRNAo9p49ixeOzyIxJ5tG/pnEh9CApxc7pMyt2c/znTQDU\n69uOO6cMZ9WI2YSv2EX4CnPjz7NpIIO+HWuzhjUaDQ1nPs2xR94nLyaZtn/PJGnDAbLDLetS6+xA\nwNMDSS9Wl16D70Cxt+Ngr3FoHO3psO0T4lfsJC8yweoZPSa8QvyLEzDEJeD383xytu5Cf9GyTrI2\nbCHlwy8sXss7EEbMY8+bd1OrJv4rF5O756B18xVkDJj2PBeHT0Yfm0TDVXNJDy19fqf+Vcb5nZNH\n5Nii87vRXwXnd7qVz2+Kjss/nzAfl8NWm4/L5BLH5bHix+Xk4awcORtFq6H/Zy+wfsxXJJ66jIOb\nCya9weoZURTs+zxB3q9zUTNScBj+DsbzR1CTYgqL6Lcs42qTXte2N5radQrX2d/zNPo9azBdOgl2\nNax+blfW0Hv68viD9zHp/TnV8v5VScZcX58soKWiKI4Fy32xbEgDLFNVNaTY18mC18+rqtpWVdVm\nwDDgdUVRnlRVNQKIBO68ugNFUZoCNa3SsAbc2jUk+2IsOZfiUfVGYlbswmdAh1LlGr/1CBfmr8aU\na/3fuq+XZ9sGZETEkXk5AZPeSMTKPQT1b1+qXMj4hzj+5V8YqyGzXbOmGKOiMMbEgMFA7j+bcOje\nzaKM4733kv3nCtTMTABMqak2ydK2fSsiLkRy+dIV9Ho9K/9YS/97elmU6TewN78uWQnAmpUb6N6j\nS6n9DH3wHlb+vtYmGUtyatOI/Esx6CPjUPUG0lZvo1bfzpXaNv9iNPkR5huLIT4ZQ1IaOs9aVs+o\nCW6MKSEaNSkWjAYMB7eia2NZb/bdB6DfuhpyzD9jNTPNvK1vHYxnj4HJBPl5GKMuomte+hi2Bpe2\nDcmNiCHvsrkuk1buwL1/p1LlgsY/TvSCFah5+YWvOTYOIn37UQAMSWkY07JwbtPA6hl9QhqQGhFH\nesE5Hb5qD/X7WdaHPjOn8P86p7IbAY2HdCV81W6r57uqZtuG5FyMJfdyPKreQMKKnXj2L329rDth\nGJELVmIq3kupqmidaoBWg8bBHlO+AWNGTqltb5R9yyYYrkRjiDJfe7LWb8GxZ7eKNyzBqc9d5O7c\nj1rwyZQ1OYWYz+/8gvM7dfU2avW7gfPbw/rnN5iPy7Tix+Xq0sdlfrHj0s6x6Lise1crEk9FknjK\n/EtNbmomqsn6jSqNbz3UlHjUtEQwGTGc3oe2QUi55bVNO2E4bW4+KJ5+oGjMDWsAfR4Y8svd1pY6\nhLTCtVbNanlvYR22fKBxHXD188nHgCXXuwNVVS8AY4FXC15agrnBfdWwf7Pf8jj4epAbXfQRUE50\nMjV8PSzK1GoZjKO/J/Ghh0pt71jHm24bZ9L5zym4d25qrVjX5OTrTlZ00fCD7JhknHzdLcp4tKiL\ns58HURuPVEmmkjRe3hjji3qkjAkJaLy9LcrogoLQBgXiMX8eHl8uwL5T6QaPNfj6+RAdVdSLERMd\nh6+fj2UZ/9pER8WasxqNpKdn4O5h2ZM++P4BrCjRuJ47fzobtv3OmDeet2pmna8n+pjEwmV9bBJ2\nvp6lytUa0JWG6z6nzoK3sPPzKrXesU0jFDsd+ZdirZoPQOPmhSml6GdsSklEcbXMqNQOQOMTgNO4\nOTi9+Qnagga0KeoiuhYdwK4GinMtdI1bo7hbHh/WYu/rSX6xczw/Jgl7P8tz3KllPez9PUndaNlL\nmX0iwtwQ12qoEVQb59YNqOFfup5vlLOvO5nFzunMmGRcSpzTAK1G9WHkjo/pNmkYW6f8WGp9o8Gd\nCV9pu8Z1DT8P8orVZV5MMvZ+lj9z55bB1PD3JLnE9TLxrz0Ys/PocvQbOh/8kitfrsaQmmn1jDpv\nLwyx8YXLxvgEtLVLnztOve/Eb9nXeM2egtan9LHn3L8nWes3WT0fgJ2PJ/roYud3TBJ2PqUzug7s\nSqNqOr8BXHzdySh5XPqUPi5bj+zDqO0f033SMLa+az4u3er7oqIy9KfxPLZmOu2LDV2yJqWmO2pG\nSuGympmCUrN0RgCllgcaVy9Ml08BoHH3gbxs7O97EYcRU7Dr8RAoik1yiiImVJt/VQdbNq6XAsMU\nRXEAWgN7S6x/VFGUI8W+HEvvAoBDwNWW6nJgaMEwE4BHC96nFEVRnlMU5YCiKAfW5Zwvq0gZG5X1\nYrEfjKLQbNpITk39uVSpvLgUNrd7mZ19JnLq3Z8I+fIVdC7lfUvWo5R18qsWBegwdTgHppUe41xl\nyqrXkj1tWi26wECSXx1D2rRpuI5/E8XFxfpRyqquElmUsgIXK9O2fStycnI5c6poiM0rz02gT7f7\nuf+eEXS6ox0PPXqf1TKXFbpk5ox/9nHmzqc5N/BVMnccIXDOGIv1Om93guaO5cqbn1XbR52KRovi\nHUD2JxPI+X4WDk+MAUdnjKcOYThxAKc3PsbhqQkYL5wGk9FGIcp4rcT5Ejz1SS6/t6hUsfil/5Af\nk0Srvz+i7rSnyDhwGtVo/ZxlndNl/ciOLd7Ij93HsWvmUjq+OtRinU9IA/Q5+SSfuVJ6Q2up6LxW\nFBpMG82F90o3/Gu2bQhGE3vbPMe+Ti8R+PxgHOrUtkHGCq6PQM62PUTdO5yYR58jd+8hvKaNt1iv\n9fLArmE9cnYfsH6+cjNahkzfuI/T3Z/m7MBXydx5hKCPS5/fdWx9flfyuDz640YW3zmOncWOS41W\ni3+Hxvz96gJ+fXAaDfp3IKhbC9vkrExICnqtww8Wrddo0QQ2Qr91Obk/T0dx9Ubb4vo/5RACbNi4\nVlX1KBCMude6rM/PSw4LKe8zwcIzWlXVWOAEcLeiKCGAXlXV4+W8/9eqqnZQVbXDQMfKfXSbG5OM\ng39Rj4Gjvwd5sUW/BetcHKjZNJDOf0yh5/55uLVvSPsf38C1TX1M+Qb0Keael/SjF8mOiMO5gV+l\n3vdGZMUk4+xf1PPm5OdBdlxRZjsXB9yaBtL/t7d5YM8neLdrQK8fxuLZup7Ns11lSkhAW7uoN0jr\n7Y0pMbFUmbwdO8FoxBgTiyHyMtrAAKtniYmOwz+g6Ofi5+9DXLGeraIyvuasWi21atUkJSWtcP2Q\nB0oPCYmNMe8jKzObFb+tJaR9K6tlNsQkWvRU2fl6YoizfFjSmJqBmm8ew5i8dAOOLRsWrtO4OBL8\n/bvEfvwzOUfOWC1XcabURDTFeps17l6oaUmlyhiO7gaTETUpDlPcFTS1zT/j/L+Xkj3zZXLmvQ0K\nmOItnxmwlvyYJOyLneP2fp7kxxbVpdbFEcemdWj++/u03fsVLu0a02TRRJxbNwCjiUtTf+BY33GE\nPzkLnaszuRdiynqbG5IZk4xLsXPaxc+DrGLndEnhK/dQv8RQsEZDunDWhr3WAHnRydQoVpc1/DxK\n1aVzkyDa/DGVTvvnU6tdI1osnoBLm/rUfqA7yZuPoBqM6BPTSd9/GpcQ6w+xMcQnoPMtarRra3tj\nTChxXKalg948ZCXzz7XYN21ssd6pbw+yN+8Eg21+4dPHJmJX7BMQOz9P9PHXOL+XlD6/6/1gPr+z\nD9vm/AbzcVmz5HEZX/5xeWbVHhoUDBvJjEkmau9pclMyMeTmE7Hux0d9AAAT80lEQVQ5DO+WwVbP\nqGZY9lQrLu6omWUPMdQ16YTxdNGIUjUjBVN8pHlIiWrCeO4wGp86ZW4rrEdVVZt/VQdbz3O9CpjD\njQ3daIv5Icerrg4NseqQEIC0w+dxru+LYx1vFDstfkO7Ere+6KNhQ0YOG5s/x5aOr7Cl4yukHjzH\nwZFzSAu7gL1nTdCYfw9wrFsb5/q+ZF+Ks2a8MiUduUDNer64BHmjsdMSPKQLkRuKPoLVZ+SwvNUL\n/NHldf7o8joJh86z+cm5VTpbiP70GbSBgWj9fEGnw+Hu3uTttHziPnf7DuzbmcfGKa6u6IKCMEZb\nv+Fy5NBx6jWoQ1CdAOzs7BjywD1sWLfZosyGvzfz8GNDABg0pB87txV96KIoCvcO6cfK34ueQNdq\ntYXDRnQ6HX369+DMKcuHXW9E9tGz1Aj2xy7QB8VOh+vgu0jfaPmYgc676IZSq08n8s6bH4ZS7HTU\n/eptUv7YRPranVbLVJLpUjia2v4onj6g1aFr3wPD0T0WZQxhu9E1bmPO5VwLjU8ApsQYUDTgbB5f\nqAkIRhNQD+MpGzw4BmQeOYdDPT9qBNVGsdPhOaQ7KRv2F643ZmRzsOVoDnd+nsOdnyfzUDhnRs8k\n6+h5NI72aBxrAOB6VxtUg7HUg5DWEBd2AbdgX2oVnNON7+vCxRLDKlyDi4YyBd8dQmpEsaEAikKj\nQZ1tOt4aIOPIORzr++FQx1yX3kO7kbShqHfXmJHN7hZPs6/jS+zr+BLph85yYtSHZIZdIDcqEbfu\nLQHQONWgZvvG5Jwt+VjOjcs/cQZdUAA6f/O1x7l/T3K2Wl57tF5FDUbHHnegj7B82NF5QG+y/rbN\nkBCA7LCz2Bc7v90G30V66DXO776dyC1+fi80n99pNjy/oeC4rFfsuBzchQsljku3YsdlvWLH5aVt\nR/FqWgedgz2KVkNAl6Yk2+DnbYqNQHH3QXH1Ao0WXdNOGM+HlSqnuPuAgxOm6PPFtr2IUsMJHM2f\nmGrrNLN4EFKI62Hrqfi+B9JUVT2mKErP6924YIaQOcC8Yi//DszAPLNI7xuPWEQ1mjgx8Qc6LZ0E\nWg1Xlmwm88wVGo1/mP9v787DpajOPI5/f/cCguKOYtRElBh1dNRRo04kCQbjFlwYTIRRRxyNY4ia\niFeM+5YYdyFiRAcVcWTRcY2PuCMaRTHsi4oii4hLFFlls/vNH+c0FH2770ZXX5q8n+e5D12ntrdP\nnTp1+tSpYtGkD/n8ueIX/G0O3Yvd+/4cy2SxTJapfQexemHpn9guFPPYyx/giKF9w6v4Roxm0YyP\n2a+mO19OmsW8AmPDyy6TYXG//mx9y81QVcXyZ0byzezZtP3vM1j93nusfP0NVo0dyybfP4h2QwZj\n2SxL/jwQW7w4hVAyXN73Dwx99B6qqqsY8dDjzHh3JjWXnMukidN4YeQohj/4KH8aeAN/HTeShV8t\noveZNWvWP/QHB/HJ/M+YO2dto6rVJq0Y+ug9tGjZguqqal4bPYaHHvj/QrtvYtBZ5l81kF2HXBNe\nxffIi6x8fy7bX3AKy6e8z5IXx7Jtr+PY4ohDsEyGzMIlzKvpD8CWP+vEZgfvTfXWm7P1SV0AmFfT\njxXvlPjHVTbLihF3sem5v4eqalaPeZ7sJ3Np1fU0MnNmkJnyFpnp42ix1wFsesXdkM2w8rF7YdmS\n8IaQPvGp+BVfs2LwzeHhxjRkssy+bBB7Dr0SVVfx+fCXWD7jI3a+qAfLJs1cp6Gdr+W2W7LnsCsh\na6z69Es+OO9PqYRomSyjr3iA4/+vL1XVVUwfMZoFMz7mkAu78/nkWcx6YTz79jqSb3fam+w3GVYu\nWsaLF6x9i8ROh+zJ0k8WsHhuid+8kS+T5YNL72WfYZeFV/ENG8XX781jl74ns2TiTBY8X3wYxfz7\nnmOP/r05cPRtIPHZ8FEseyeFt5pksiy48Q62v/MGqKpi6VPPsvrDOWx5zumsmj6D5a+OYfMe3Wjz\n43+HTIbsoiV8cdVNa1av/lZ7qttvx8pxk0sfWyLG+VcOZLch10B1FV89HM7v9vH8XvziWNqdUfz8\nbnvw3rRInN8f1fRjxfTSd55YJssrVzzAiQ/2Da+IjOXy0D7d+WzK2nL5nU57k12dYcWiZTzfJ5TL\nlYu+ZvygkfR4+lrMjNmjJjH75RSeAbIsq14ayibdfwtVVXwz5XXsy/m0POwEsp/OXtPQbrHXIWTe\nzTvXzVg1+hFa/yLU99nP5vDN5PReCVqXi666gbcnTGbhwsV0OfFUep95Gt2PO6pZYknbxvqea6XR\nZS5pqZm1zUvrDNTU8Sq+3sB8ar+K7y4zuz9vW08C7c2s9mscCnimfY8N/uh90WLDf+X4kR1THL9Z\nIgdOSblBUSLPbrVbc4dQrw7HpPCqrBRMeyL9ZxvW19vVmzZ3CA2y3+rSvw2j1HbZsfhQhA3JogUb\nfrkcld2yuUOo1y/Pb93cITRIy16XNncIDdKy3W4b1FOabTfdNfX22dKvZ5X9O6fSostvWMe0V4BX\n4ufBwOAiq9dbI5nZCU0OzjnnnHPONTtrprd5pC3tMdfOOeecc87909jwxyI455xzzrmNzsY65tp7\nrp1zzjnnnCsR77l2zjnnnHNl11zvoU6b91w755xzzjlXIt5z7Zxzzjnnys7fFuKcc84555yrk/dc\nO+ecc865sttYx1x749o555xzzpXdxtq49mEhzjnnnHPOlYj3XDvnnHPOubLbOPutvefaOeecc865\nktHGOt4lTZLONrN7mjuO+lRCnJUQI1RGnJUQI1RGnB5j6VRCnJUQI1RGnJUQI1RGnJUQoyvMe66b\n5uzmDqCBKiHOSogRKiPOSogRKiNOj7F0KiHOSogRKiPOSogRKiPOSojRFeCNa+ecc84550rEG9fO\nOeecc86ViDeum6ZSxkBVQpyVECNURpyVECNURpweY+lUQpyVECNURpyVECNURpyVEKMrwB9odM45\n55xzrkS859o555xzzrkS8cZ1JGkHScMlzZQ0XdIzkr4nabmkiTFtiKSWcfnOkp6On3tJMkldEtvr\nFtNOSjnubjG+5F9W0q/i/s9LLDtAUq8UYlga/+1Q1z4lDZY0S9IkSTNifu6Uv53EdC9JA+LnPSS9\nEr/fO5KafLusjmM9NW+5qyXVJKZbSPpC0h/zlusqaUL8XtMl/U9TYysSr0m6NTFdI+nqxPTZkt6N\nf2MldYrp1ZLGSfpRYtnnJf28lPEViTkTj9VUSX+RtFVMz5WR6xLLtpO0OnesyyFxfu6ZSNtd0tOx\nXIyTNCqXd7Es/j3vPPuXMsSZy8dpsXz1kVQV5yXroPYx9lwZfKaMsa1zjBPzL5C0QtKWibTOkhbF\n8+U9Sa9K6ppijNsmjtenkj5OTLcqUg4Oit+pVZzuKOlDSVs0Yf/JPHpE0k71xNOoPJV0VGL9pTFP\nJyrUrWvKR1z2REmTYz0xRdKJTc/ZOr/rJEnjJf2glNsvss+lBdJqXSvqyqfEev3j8cidX2ck1lkV\n82yipBuaEKdJejAx3SLWJ8k2RK36RaG+XB7Pl3cU6vfT4zodJM3LxZvY9kRJBzc2RldiZvZP/wcI\nGAOck0jbH/ghMDVOVwMvA6fE6c7A0/FzL2AyMCix/ghgInBSmb/L2cBoYDfgM+ADoFWcNwDolcI+\nl8Z/O9S1T2BwLj9inl8AzEgsuzRvu72AAfHzc8AJiXn/mtaxTqRfDdQkpo8FXgdmsnZIVUtgPrBz\nnN4E2KPE+bsCmAW0i9M1wNXxc1dgXGLeAcBcYIc4fQgwJcbZE3iuTOVwaeLzA8BliTIyE5iQmP+r\neK4MKEdscZ8PA68l8rF1LIvHJ5bZJ1F2e5UzviL5uD3wInBNnO7M2jrobuA3iWX3ba5jnEgbG/O4\nVyJtTcxxen9gNtClDPGucz4XKgeJ9D8Dl8bPzwI9S5BHDwF96omn0XmamPcKcFChvAb2I9TLu8bp\nXeN0ycpJXuxHAaPLWQYTaXVeK/LzKaZVEerNN4HOBbY5m1jHNjVOYALQJk4fQ6jzkm2IWvULob6c\nmpjeLa53RpweA/w4MX9PYGba+e5/9f95z3VwOLDazAbmEsxsIvBRYjpDqNh2qr06ECq8gyW1lNQW\n+C7hJCgbSd8DrgROA7LA34GXgNPLGEaD9mnB7cCnhIqmPt8C5iXWn9LE+Oo91nXoCfQnVMKHxrTN\ngRbAl3FbK83svSbGVsw3hAdbLigw72LgIjP7Iu5/POGi/Os4/RbwBuFCfn0uvczGsO55sxx4R9JB\ncfpkQiOnLOL5eRhwJtAjJp8CjDGzp3LLmdlUMxtcrrjqY2afE348nytJebPzz4/J5YyNvGMsqSPQ\nFriccN4UFM+9a4Fz0w4wX5FykHMpcJakvkBLMxtWgl2+RrguNFST8rSIGuB6M5sFEP/9I3BRI7fT\nUFsAX6W07fo05VpxODAVuIvG521DjQR+Fj/3BBpdpszsQ6APcH5MGsa6ZbdHU7brSs8b18E+hN6/\noiS1JvQCPltkESP0Kh0FnAA8VWS5VCgMVxlK6AmZm5h1A3ChpOoyhtOYfY4n/Nquz+3Ay5JGxluj\nW9W7RmF1HeuOydtywDm5GZLaAF2ApwmVV08AM1tAONZzJA2TdEr+bboSuRM4RYlb7NHe1P4+f4vp\nOZcAvwWGmtkHKcRWVCwDXah9PgwHekjaGcgQev/L5UTgWTObASyQdAAhv8bXs97Jebdt26QeaZ54\nca0i9GIn3QncqzCU5TJJO5YrpiLHONd4eA3YQ1J+vEkNrQNKrVA5AMDMFgI3Ehqgvdd3R5JaEDoR\nGtQpUII8zdeQemJ9tYnnxbvAIOC6+lZISVOuFbm8fRzoGq+npZar81oD+wJv5c1vaP2SPF8eBk6M\n5QtCR8XwUgfuGs8b1/XrGBtaXwJz6+kRGk745dgcvx6vA6aZ2TonVuyhGAv8Z7kCaeQ+83vgam0u\nbvN+YC/gEcLtzjclbbIeYRYy08z2z/0BAxPzugKjzOxr4FGgW+7Hg5mdRbgQjiX0EN1X4rgws8XA\nENb2WNRFxHyLfgQsIvywKJc2ifNmG+CFvPnPAj8lXNRGlDEu4j5z58lwCvRUSXpcYdzrY4nkEcny\nYWbLyxFsAbXOGTN7jnDL+H8JF94JkrZLOY66jnEPYLiZZYHHgLrG+ddXB6SlvnJwDGGY2/qMrc/l\n0d8Id7zubeDy65un+fLrhGJp62N5PC/2BI4GhhS4w5K6xl4rFMbWHws8EevZt4AjU4hrMmGYR0+g\n0DMRDa1f1uSpmX0KTAO6SNqfcFd2apH1XBl54zqYBhxYZN7M2ND6LnCopOOLbcTMxhIaMO1ib0hZ\nSOoMdKf4rdXrCcMHynm8G7rPfwPeiZ+Xx4ouZxvgi9yEmc03s/vM7ATCUImmNBbrOtZ16QkcIWk2\noQdoW8KtxFxsU+Iwl58SjkUa+hFuYW+WSJtO7e9zQExH0mbATcBPgO0kHZtSbPmWx/NmF6AVecNR\nzGwVIR8vJPxYKQtJ2xLyYlA8lhcRenumEfItF183wjjIbcoVW0NI2o3Q0/95/jwzW2BmQ83sNOBt\nwo+qNBU8xpL2BXYHXoh53IO6b7Un64CyKFYOco1BhYcstyTcibxZ0qZN3NXyRGPpvFju612e9c/T\nfNOAg/LS1tQTpWZmY4B2QNo/8IrtvzHXiqMJx3pKzNtOpDc05CngFtav8y3/fMkNDfEhIRsQb1wH\nLwObSPplLkHS9wkVHABm9gnwO8It9rpcQhivVxaStgbuB/7LzJYUWsbM3iVUoqk9ld/YfSo4nzA+\nLjfUZjRwapzfBvgFMCpOH621b2rZgdC4/bgJodV7rAvEugWhwv2OmXUwsw6Ei15PSW3jj5uc/YE5\nTYirXnEIysOEBnbOTcCNsbFA7L3oRXggC8IY/Ifj8egN3B5vS5aFmS0i9LbXFLjVeitwsZl9Wa54\ngJOAIWa2SzyW3yY8LDoDOCzvx3NTG1SpiD3RAwkPPlnevJ/kGoCSNgc6EnpKU1fgGPckPCDYIf7t\nCOwkqdY5FhuNVxCGtZRTsXLQKdY9twK/juN1nwQuK2dw65OnRdwCXCKpA4Q3TRCuU7cWXWM9KLx9\npZr4LEo5NeFa0RM4K1G37wocuR4/qOpyH3BtU58ZisftFuCORPKjhJ53HxKyAWlR/yIbPzMzSd2A\nfpJ+R3g7w2zCONWkJ4CrJf2wjm2NTC3Qws4hjL+8K+8OXP4v2D8QnlYup0L7vFnSFYSGy5vA4Yne\nnN8Ad8dGtwgXv1fjvCOB/pJWxOmL4i2xRmnEsU76D+BlM1uZSHuS0LDtA/SVdDfhQb1lhMZtWm4l\ncYfCzJ5SeJ3hG5IMWAKcamafKLwqrhvhTQGY2URJzxHuKFyTYozrMLMJkiYRelZeS6RPI/SolVNP\nwjMBSY8ShjB1BW6T1I8wHGAJ8PvEcicrvuYw6m1mb6QZLGuHCbQk9MA9CNxWYLkDgQGSviF0mgwy\ns7dTjm2NvGPcg9oPKT8e098CfihpAqEO+Bw438xeKlesUV3l4BjCEIFcr+7VwERJg83s/XIF2Ig8\nvbEB25oo6WLgL7HhuRroGx8oLZVcWYVQf59u4UUAadpU0rzE9G3AzjTwWhEb0EcBa16fambLJP0V\nOI4SD1kzs3mEh+ILqVW/EJ5F6RjPl9aEOumOOPQlt82Fkt4E2uceWHXNz/+HRuecc84550rEh4U4\n55xzzjlXIt64ds4555xzrkS8ce2cc84551yJeOPaOeecc865EvHGtXPOOeeccyXijWvnnHPOOedK\nxBvXzjnnnHPOlYg3rp1zzjnnnCuRfwAJwXhqCpJ1eAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1106c3d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize=(13, 9))\n",
    "sns.heatmap(data_corr,annot=True)\n",
    "\n",
    "# Mask unimportant features\n",
    "sns.heatmap(data_corr, mask=data_corr < 1, cbar=False)\n",
    "\n",
    "plt.savefig('house_coor.png' )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RAD and TAX = 0.91\n",
      "NOX and DIS = 0.77\n",
      "INDUS and NOX = 0.77\n",
      "LSTAT and MEDV = 0.76\n",
      "AGE and DIS = 0.74\n",
      "NOX and AGE = 0.73\n",
      "INDUS and TAX = 0.72\n",
      "INDUS and DIS = 0.71\n",
      "RM and MEDV = 0.69\n",
      "ZN and DIS = 0.67\n",
      "NOX and TAX = 0.67\n",
      "INDUS and AGE = 0.64\n",
      "AGE and LSTAT = 0.64\n",
      "INDUS and LSTAT = 0.64\n",
      "CRIM and RAD = 0.63\n",
      "NOX and LSTAT = 0.61\n",
      "NOX and RAD = 0.61\n",
      "RM and LSTAT = 0.61\n",
      "INDUS and MEDV = 0.60\n",
      "INDUS and RAD = 0.60\n",
      "CRIM and TAX = 0.58\n",
      "TAX and MEDV = 0.57\n",
      "TAX and LSTAT = 0.57\n",
      "ZN and AGE = 0.56\n",
      "DIS and LSTAT = 0.54\n",
      "DIS and TAX = 0.53\n",
      "ZN and INDUS = 0.53\n",
      "NOX and MEDV = 0.52\n",
      "PTRATIO and MEDV = 0.52\n",
      "ZN and NOX = 0.51\n",
      "RAD and LSTAT = 0.51\n"
     ]
    }
   ],
   "source": [
    "#Set the threshold to select only highly correlated attributes\n",
    "threshold = 0.5\n",
    "# List of pairs along with correlation above threshold\n",
    "corr_list = []\n",
    "#size = data.shape[1]\n",
    "size = data_corr.shape[0]\n",
    "\n",
    "#Search for the highly correlated pairs\n",
    "for i in range(0, size): #for 'size' features\n",
    "    for j in range(i+1,size): #avoid repetition\n",
    "        if (data_corr.iloc[i,j] >= threshold and data_corr.iloc[i,j] < 1) or (data_corr.iloc[i,j] < 0 and data_corr.iloc[i,j] <= -threshold):\n",
    "            corr_list.append([data_corr.iloc[i,j],i,j]) #store correlation and columns index\n",
    "\n",
    "#Sort to show higher ones first            \n",
    "s_corr_list = sorted(corr_list,key=lambda x: -abs(x[0]))\n",
    "\n",
    "#Print correlations and column names\n",
    "for v,i,j in s_corr_list:\n",
    "    print (\"%s and %s = %.2f\" % (cols[i],cols[j],v))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lU60HAJ0ql+E0MVPVvsMjc0Jm3+GRIOcclQu24CK1ZSruAHSxXI4NNbtyQiu7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\nEwAgOIQTACA4/x+jh61MdgWo+gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fff0490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Rz8cw7PcCNbpgqtUUcP1wbhDuZ5txog7B6ts+KVd92w8T8RTW3bs7b2RS2Iyv\nEQzDxERCx1uxFE7vjeDV8RhOigTQE3JXX4+ImhIb4zU7N+nObvsK1av/kF8FU2MpAy8dn0RvNAgh\ngN5oEC8dn2zonikiah4MRD7pcqgJ15XJirPWkHI3l45NJYuCjNvHuVHLXqBadGkqTjspgk/cl/4Z\nPnHfbpx2UsR1kgQRtTZOzflkIp7CE384hqVnz8asrgBOTKew68XjuPScOegJB1xPk03EU/j2Ey/h\nygtOxcJTunHg6CR27juCj156VsXTaX411fNrSpCIGoqN8ZpdJKBi4IxeXH//M3kXfWufkNtpskhQ\nxdWL5+GWB/dmX+fOFYsqXug3DBOxlIFeHwqmsocSUWfj1JxPcqtk779jGbasHsgbebidJoslDdzy\n4N68igy3PLi3ogoMudN7f/Q3j2LdvbtxfCLhSRAC/JsSJKLmwKm5JqXr6RFKNKRlp9tWXjy/aJqs\nHtl3fk+NJZI63o7rRVOC7whrCAU5KiJqUZyaawWmKRFLGbYdWt+cTuV1aN041I/eruK1mljSYTNo\n0nC9CTYa0jB3Vgg7b7wsu860+fEDnk2NBTQV7wgjb0owqAgEmKxA1BE4IvJJqXbgsZSBtdtGikYo\nW9cMFgWXWtqKW2IJHeOxJG5+YGad6avXLkJvJIiIB8GITfWI2pLrEREDkU8mE7pjsIkE1Yqm25xG\nVq6PJZ7CWpupua2rB9DtwdRcPTP/iKhpcGqu2ZVqBx5LGlh/xcKiC7PTdJuizNSiq6YmXcQha63U\naMjKsqtHdl29Mv+IqDVx3sMn1tpOLmttp0tTsPLi+djwyPM47/Yd2PDI81h58Xx0NWiaqtSx2Knn\nJlrr/WvN/COi1sURkU8iARXfWLUEb+bUV5vdHQQkIBSBWNLAnJ5QXqfUrWsG0d2AdOpIQMWmocVF\n60xOvY8KC7Zax7dl9QB6XB5f7nSigMDcWaG8+7mPiKhz8C/dR0nDxK0PPZdtA7Hy4vl5C/Z3rlgE\nAHjk2dez03aNoCgCfdFgdn2q3DpTrRtQ7RIsvnrtIpgy/bMCVhsI3ZM1KiLyl29Tc0IIVQixRwjx\nY7+OwU+xpIH1w6PZ6agrLzg1O8rInZ761PsWAqhug6dpSkwmdJgy89V0Tkyx1pms3kelkh1q3YBq\n1xb95gf24rMfODdbd+8f/99+SMDVsRNRa/NzjegGAL/z8f19VdiVdOEp3bajjIWndGPpgr6KF++t\nUcfabSM497YdWLttBGNTybpc0CMOBVvdtjF3StSY3xfB/juWYevqAahCwdhkElICxycS6eriDQhG\nlQRrImoMXwKREGIegH8P4Ju10xorAAAgAElEQVR+vH8zsLqSWg4cnbQdZUwnDWxYfj4e3nMY0yn3\nyQB2o471w3scWyvoen4rCV13fq9y5YnKHptDcsShsRjOvW0HkrqJqaSOWx96DufdvgO3PvQcJhI6\n4nVuC9HIYE1E7vk1IvoagP8GoLo0qzagKMBXr12UHVXs3HekaJTx1WsX4faHn8OGR57H0CVnOI44\n7PoRlUoPL2RtKM3NghuPJaHrpuOIQVUV9IQDUIRATzhQUeq2lRxR+LPe/bP90E2JoKbi5gf2Fk3d\n1Ts+VBqsiagxPE9WEEL8BYCjUsrdQojLSzxuHYB1ADB//nyPjs47YU1FT0jDV665MJs1Fwmq2Lp6\nEJGQiljCgKIAd1/XXzJ5wKl1QySoui79M607Z8HFU2ZNVRvsFCVHJAzc/vBz2USFwmlLwNrXVN9k\njUqCNRE1jh8jovcAWC6EeBnAdgBXCCHuL3yQlHKLlHJQSjk4Z84cr4+x4RQlPZKY3ROCEMDsnhAi\nQQ3d4UzCQFhDJFg+eSA3lTo31VsRomjU4ZSSXSoLbvjJV7Bh+fl44UvLsGH5+Rh+8pW6jBhykyMk\nJN44kcje51U17kr3TxFRY3geiKSUt0op50kpzwSwEsAvpZSrvD6OZlBJppoTpyASDqrZUcf+O5Zh\n65pBx5FMqQv/1Yvn5W2svXrxPHQFlLou8hcmP+imxMahgmSIoX4EahiFOb2v22BNRI3ja625zNTc\nTVLKvyj1uHasNQfUXiMOqE8Lh3hSxwmbNgyzwho++p3ienjfWjOIqaRR1yk7XTcxradLBsWTBkwp\noZsy271WU0R6hFjnYFSP/wdEZMv1H5KvJX6klI+XC0Ltql4ZW7WmUgNAMKBix74j2LxqCfbfsQyb\nVy3Bjn1HEAzYr6GYEnVd5Nd1E5NJPZuufXQiPU2nZQKCpioNCUJAfUalRFQbVlbwSW7GFoDsxTy3\n1YObT+u5qdTVFiCdSuh4dN8b+MIjv83etnRBH65ZMs824cExmaDKRf6kYWIyoWerTOS2obACRKNw\nRETkPxY99Um5jK1KRky1pFIDzqOqLs1+DaVwDxRQ2yK/KeFJunbR+3IfEVFTYD8in5TqR9Qd0sre\nn6seLRly12imEjq6NBWaphSNGMKqgqSR3nC6fni0LmtE9Wh3Xo1KzjERVaw11og6WbmMLbd7XOrR\nksEw7De0GoaZt4bSpSkYjyXx8W0jOHoinldZ4eSuQNVTWjGHrL1YndO1C3EfEVFzYCDySe6mTrv0\nard7XGIpA9ufOpS312f7U4cqShxw2otU+BrW4z5x2VmY0xO2rcRQjUhQw6aCdO1vrFoCQDS0Bhz3\nERE1B07NNSm7Vgl201+GaeK1N+NF3U1POzkMVXHZG0hKfPb7o7j+8oXZjrCbHz+Au6/rz5sas6bQ\nnvmbD+AT99WWMm7381pTgPGUgalE/ab+Sr2nm3NMRFVx/UfEQNTE3GR01WMfUSyhYzyWxM0P7C3K\nWsttF26913fXXuK4pgOJmi/ikwkd9/z6YFGr9I+9d0Hd127q2fKciPJwjaiVWZWwIQApJUxDOu5x\nqbVJHZAe6dhnreV/SLGy6ybj9ms6k3G9LllnXQHFsaJDPZmmxHgsVTDF2Jh2E0TkjIGoyZSqhG2n\nHuscEYdgFikIZtaepZAqbNO9n3llvC7Vq2NJA7c8mB8Yb3lwb93Xblh9m6g5MBA1mdxK2LmJA9O6\n/cWxHvXSKglmqqogFNTQG5npR/TPfzmA377+Nj7ynZG6ZJ3VY5TnBrPmiJoDN0s0mUovwkUtFaqo\nDpAOZv0FyQGlywRpmgJhmPjw1iddtZooVGptxgqMha87ldARDWl1q4Dg9D5ujp+I6ocjoiZTTQsE\np3ppbitkSykRUBV85ZoL8cKXluEr11yIgKqk16cKXiO3k6uUEltXD1Q8Giu398lulLdxKN2XqZ6t\nw1l9m6g5MGuuyVhrRIWVsHsjQWia+88NlaQml8q8i6eM7EjpH4f6MXBGr22V7mDA/WjMTaZfbsbg\nVEJHQjfw6e+N5mf1RYOIBGsbubDWHFHDMGuuVWmakrf+smX1QMVBCKhsIb7UdOD64Zn1qqVnz7Zd\nv0pVODKpZg3oe785VJzVV4dG86y+TeQ/ToQ3IU1T0JMJPNVuEK1kIT6eNPDzz/4ZTu+N4MDRSXz9\nsQM4NpHAVELPe41ZXQHHAHLfrpfx6L43XG0ItaYf7daAesIB29HcnSsW4cCxqWw78Ua0Dicif3BE\n1KbcZsKZpsRUMt2Cwdqz89+uOg+bVy1BQBF5r3FiOmX7miemU1h2wam48vy5rtKfI0EVd65YlLc2\nc+eKRdkgGUsZRS3KH95zGJ9638L8nyXBNGuidsBA1KbcLsTHMmtAhdNemiJgAvjqtTMBY9eLx233\nDz285zXcsH0UVy8+zVX683TKxMN7DhcFmulUeq7NaUPr2XOiOT9LP9OsidoEp+balKII9EYCRQ3z\nCqfMHKfwQhoggZ6Qhq9ccyFO743gRDyFgCKwedWSvBbe1nNmdQVcpT9HAiqGLjmjKJHCCpK5G1oB\nZDe0WutmTCogai8MRG3KKl9TLmuu3F4aq9GeEOl6cmttst02r1qCnc+/gRPTKVfpz+X2PpVKZqh3\nx1ZmzRH5j1Nzbcpt1ly5KbzcrDKnADGrK4CNK/sR1hT0Rtz1JSqVrea0vjXlYk9UJdihlag5MBC1\nKbdZc9nRSWbaa+vqQUSDKuz2l5XabLtj3xF89DsjrouGltpsa1V6KNzQ+u0nXqprwGCtOaLmwEDU\npmIJh6w5m0wzKSViSQMf3vok+r/4U3w8c6Ev7PJqVd8uTFZI6gZ2v/KW6wu5m5FIsKDSgyKAA8em\n6how2qHWnNvqGUTNjGtEbUpR0hlvhT2G7Hrl5XZoBZDdqLpl9QB6cnrzWNW3rQSIE9Mp/Gj0NTy6\n7w3cuWIRAOAnzx0peyHPHYlY77d+eA+2rhlEd0hDLGXgk/c/U7QWtWH5+fn7iGoIGFbaeivXmmNj\nP2oXzf/XRlUJB1TctfMFbFh+fra53F07X8Dd1/UXPTYSVPMe9/XHDuAnzx2xrXSgqgqEXlzs9JYH\n92LD8vNxbCJRPmuuzEjE6f6Fp3Rnv68lYFgX8OEnX8GdKxbldbdtpVpz5QI6Uavgb2ubiiUNvHEi\ngSu/9qvsbUsX9BVdvK2L8oZHns+rYrBwTjRb6aBQqUDh5kJeLlPP6f5Xx2PQMptsawkYuRfwA8em\nskE4ltQRDbZOmZ92mFokArhG1LYq2dB6Q8GG1lse3IuPvOcsxwu9c9UG3VXWXLljs7+/H6fMCqUT\nKtYM1jT9lHsBf+TZ13Hl136F827fkU4Pb5EgBFS2DkjUzFh9u4252SNjSolzb9sBPWeRW1ME9t+x\nDIooviibZjqxIRJScWgshq/9fD/eOJHAnSsW4eE9hzF0yRmugkS5Yyu8v0tTMK2bddnvM5nQcc+v\nD+LKC07FwlO68W9vT0MRAnP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dAQUrBk5Hd9h+j8+cnhC2rB7IrkFEFFF16rCiANcMzKup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\nngAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1103c3e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JnX7oLuVs6QuAMS9OmSiqqKMHsQ5pKRqt9anOPKueWzr90F165N7RlsGoXnp1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\nAQCCQEACAATh/wOqCyDn6UtHvgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ff9c3d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AV/s0dcT3jr0n8JezLsE3f3qQgghCSFHJVCf0JICrADwLYIeU8nCxFhZPsdVx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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110568790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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VUtccjcXRkxPQee/SOWgJ+tDS4Nc1LoqBq90dGBf0IVDCxlJpdL4RqI5LNKFo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\nF+tyVGITunfpHJwdCuDkUKTIS+3BmzrzMncr2YQ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      "text/plain": [
       "<matplotlib.figure.Figure at 0x110250b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Wpz/rzYTfwp00UEQXJw9YrcNKq9WReuT7yWQabeEAHrr5spIKrC0cwMlk2jdy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\nZEBJkoZkQEmShmRASZKG9AX8ImtUMjI+mAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110375310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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e0Q33PKI7d49odHxKxbI5+aqdv5oqes0quzhLxOspiweAxSKcFqhYdJ2bzKvo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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11012fd90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FuGkg9yanM4KQ24BMRO7xL8dnraZT23Z5WZ6g+vlUPq7b7LhU1sabpyYw2J+A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\niIi0+f8d1fCX242F+wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110327e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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VwJugIo6QvBDfJ1Rts2A4ECp6MMhlPAQh+SDV/7q/AnA9wuO9/yuAXwLYKqU8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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110328190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BWyXtdDX/KOk8M7uwXW1JehC6SNILk74/Wj+WKmZ2iaQVkh6XdIFz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fd07410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11003ce50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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sudkX9qAj5uwpsxqe82My1h9rGqmM/8ZK9X1RbhONRjAu2YaNS+bg8H3zsHHJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fff0f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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VPoo+fJLKBMZnZDfE2k2fl+pLOpVRsLy3Tycirg89XTM1fUiTJ8QxXNB+zv/+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\ncP1WFwun5jKrx2cy5dgiiO9ykKEQCghBXIj0FtGmqL12DJb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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1103b6310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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I0QZgI4ClUsqTAB4B8GkAXQAOA/i+1uuklGuklD1Syp4JEyY4PUxCiAEaPT7hVbLVJXwi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\nDRohQgghrkEjRAghxDVohAghhLjG/w+yZ1rSjGw6XwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ffca590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1101444d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BwCsAdiMl3waAuwF0IeWWkwDeB3CzlPJwsddiHhGpFWqlWnSl+UCMg5EycD6PSEr5qs5A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\nqSqDSJJUlUEkSarKIJIkVfUBS14+6pRTD8cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fd67050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5nZosaXU+F/LBgHodq/O5nqgHQM+ypAP5pv4Skc/3aV3tP/p1q/p7o44eqAfA0seXsACA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\naauSzMOtkj7l7v8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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1101e3fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YDy/ddRCSZ3Iy1I6QksTrD6FxRE3K+ZVwrsaGHo8f7R2H8cKhM1q3gV3vndHy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\nHp3ncKrbm3Qe0Zq5TVj70hGMHObE5ZdU44Of3oY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szG+4Hc09b0nGmfbjWoA2q4pI7Wbc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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110381190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RpO1A5NfnR7VXqbPqBgD/AeAaAH8lpfyglPIrUsp3anJ0DnAieHj9gSl5/I27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\nno54HRx7I697ck0oT/4ctYMlzR1nZW7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Jq1iycXdBFe1rp3Rh/eJeVtFuALouEUtpiIYD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\n9IBb3By2lYMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110680350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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2ZrpALEIIaK1JSU/q4l/6V+Rl90n6mco1AOtZr3Kpqvn7v3AlkwQ6BSEEtN6n\nJP1B0vOqnmcl/asGjrtP0t+Z2dfM7D+b2dVXNEOgQxBCQIu5+w8lfVfSexo4vFI1+CXDJWP+uaQ3\nSjqgchmffzCzwSuYJtARCCEgHf9D0sdU/9/YFpUbmknShWXvDw1LWuie6+4/dfeH3f1WSQVJN7Zw\nvkAIQghIgbv/P0n/KOk/VNpvZXeq/F7PE8nmv5f0e8n+lSq3en4q+X57UvpfZvZLktZJOp7mGoB2\nIISA9HxS5T5Xi91jZs9L+r6krZLenrSnl6Q9kv6jmU1I+gdJB5J231LSsiO579dV/pTdz1JfAZAy\nqmgDAMLwTAgAEIYQAgCEIYQAAGEIIQBAGEIIABCGEAIAhCGEAABhCCEAQJj/D5oQKsOBHpu4AAAA\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110381e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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KYwMeujoK+sKaHpUKWUbrAcAMaVrPyczmmdnc5H67pLdIelzStyW9J1ltjaR7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\nCQAQHMIJABAcwgkAEBzCCQAQnP8P98EYbwDN5zAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1106c3c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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K73zR7MKkn7HWCbmr32eQcinJQ4lzVzAA8lcwm5bPq7tskFbpobcH4rh8Whsm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\nGISIiMgy/z8MTNFWBvIaaAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1108d01d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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eI1K/aYAIITWOm+LZphohIYQfSQP0YynlMwAgpfxASpmQUioANgOYZeY5EEKI3XBTPNvM\n7DgB4PsAXpNSPqq6f4LqYZ8D8KpZ50AIIXak3ufBhs4cFe1OZ3b8NdO5+GkAXwJwWAjRm7rvGwA6\nhRDtACSAtwB8zcRzIIQQ2xFJKPAI4OHbr8rUCXlE8v6Q11mGyDQjJKX8HbQDU6alZBNSKzAhhowG\nRQH+4p978xMTlnRYeFbmYJs0C0LsQjq9tqvngEqGfwZaGgI0RKQkQkEvbrlyPB6/82qMqffj7HAM\nP+19jwKmpDahSGttEY4l0NVzIEeG/wDCMecFlYk5RGMJzL9qAu55aj+mrN2Je57aj/lXTUDU5GvI\nirmERsjmuKmozS64Kb2WmENMkViR009oRU8vYiZ+r62aS2iEbA5X3bWHm9JriTk0BH2aC5kGEwtV\nrZpLaIRsDlfdtQfloshosaKfkFVzCY2QzeGqu/bweARaGgLYvLQDxx6aj81LO5iUQMrCI3T6CZl4\nCVk1lzi6n5AbYCYWIc4joSjoH4xiKJrI1Ak1BLxobgzAa1JnOxPmkpKeRCPkAFiTQoizGBiJ4Ye/\nexPzrpyA1nGN6Ds5iF2vnsBXrr0MTXV+045r8FxS0hNZJ+QA0iKtAOyksEsI0aHe78Xi2ZOwoqc3\nsyvZ0NmOepPjilbMJZyxCCGkxognFAS8nizZnoDXg3hCgY+yPaTWoDuOEGcRUyTueWp/nmzPpiUz\nUWfheZkBjZDNYWICIc7Dijohq3DeiFyGusAMQKbAzGYdGAkhKoYicXTNbc1LTBiKxE1NTLACzlI2\nh8WqhDiPgEdg8axJWLFVlZiwuB0BB3o3nBXhciFGF5hRDJUQ64kpEiu25mjHbTVXO84qaIRsjpES\nMRRDJaQ2COnEhEIOdLE7b0QuQy0RM9rsOMaXCKkN0tpx6uy4tHZcY52zvovcCTmAdIGZR6R+V+g3\nZnyJkNrA49HRjnPgjO0sk0pGRTq+lLf6iia4EyKkitT5vGgK+rKKVZuCPtT5nLcgdKBdJZXCFgSE\n1AZp70ZLYwBCAC2NgVF5OWoZLm9JBiPjS4SQylEUif5wzBVF6NwJkSyMii8RQirHTR2TaYQIIaTG\ncFOSEI0QIYTUGFa097YKGiFCCKkxPB7g23dMz0oS+vYd05miTZyPG9tCuHHMpLYJ+jzwe0RWirbf\nIxD0Oc8KOW9EpGLcKNtj1pipwUdGQziaQM/LxxGJKwCASFxBz8vHK9aErGVohEgGN2XkpDFjzG40\n5sRYQgEvbpsxEd07jmDqAzvRveMIbpsxkYkJxNk4NSOn0K7EjDG70ZgTYwlHE1iz/VDWNbRm+yH3\n7YSEEN+s1okQ6zG6LUQtUGxXYsaYnWrMSfVwU2fVYjuhW6pyFqQmqPd5sGFxe1ZGzobF7ai3cTC0\n2K7EDKkiJxpzUl3clKItpNT3UwshDgK4AYBmqpCUsl/rfqPp6OiQe/furcahXM1gJI4f/PaNvJbC\nX71usm0FTBUpMWXtTsRVLjifR+DYQ/PhEcnL2ujsuPTuyw2SK8QcwpE4+sNR3LftUOYaWr+oDc2h\ngJ16CpV0sRczQhEA7+m8mJRSTq7s3MqDRqg6lDJh243BSBzLntybpQw+Z3KL6T2SmPZNRkM8oWAw\nEsdH4VgmRfu8kB+NQR98Xtt4Jkq64IuN5j+llJOllJdp/FTFAJHq4UQ3klXK4NTgI6NhOJbAS6+f\nxnkhP4QAzgv58dLrpzHswOSWYjuhA1LKGVU8H024E6oOTnUjcVdC7EZCUfDehyNYs/2cO27dwjZc\ndH4dvPaRTTDEHfdlKeUTGvfXAfgTKeW2ik+vDGiEqod6wh6KxBEKeDEcUzhxE1JFBkZiWL5lX54b\nedOSmWiq81t4ZmUxenec2gAJIbxCiPlCiC0A3gbwhVGdHqldUuuSM4NRfP3pgyy2JKTKMEVbhRDi\neiHEdwG8BeDPAHwWwGVSys+bfG6kymRqarYka2ruf+YwVt08FWObgiy2JKSKhCNxnRTtuEVnZB7F\nilXfBfD3AF4E8Ekp5UIAw1LKcLEXFkJcLIR4QQjxmhDiiBBiRer+ZiHEL4UQv0/9Pt+IgZDRo1VT\ns2b7Idx7YyuLLQmpIh4htFW0bZqlWohie7vtAG5D0vWWEEL8FBlnTVHiAL4updwvhGgCsE8I8UsA\nXwbwaynl3wsh/grAXwFYU9HZE0PRq/RvHdeYyZKza70QIXYi6PfAH9FQ0fbbJimhZArOKFLKFUKI\nlQBuBNAJYD2AMUKIOwD8XEo5WOC5JwCcSP09IIR4DcBFAP4XkgWwAPAkgN2gEaoJ0ina6mDoNZc2\n453+cFXSmgkhScLRBLq29uokJjjLEBUdjUzyvJRyGYBLAfwpkrujt0o9iBDiUgAzAOwBMD5loNKG\naly5J03MQU+25/8bE7R9mjYhdsJNiQkFRySEeEJK+eX0bSllDMC/Afg3IUR9KQcQQjQi6dZbKaU8\nK0r0aQohlgNYDgCTJk0q6TlkdAzHFWx9+Ti6F0zLyPZsffk4vnrdZNTRABFSNYYicXTNbc2T0BqK\nxO2Uol0SxeqE9kspr674xYXwA/gZgF1SykdT9x0FcIOU8oQQYgKA3VLKqYVeh3VC1cGJsj2E2JGR\naBwjcSVPtqfO50FdwDa7oZImjWKjCQkhZui9mJRyv+7Rk1ue7wN4LW2AUuwAsBTJrLulAH5ayokS\n89GLCTEhgZDqosik7uH9zxzOEjANeANWn5rhFNsJDQB4BfoCpnMLPPdaAL8FcBiAkrr7G0jGhZ4G\nMAnAcQCLiqlxcydUHZwq20OI3RgcieMHv9NQtL92MhrrbLMgNES2h9pxLoM6a4RYj5u042wzGlId\n0urPmWowgbyW2IQQc3FTe+9i+7qs+p1UosGVAN6TUp407ayIpdAtR4i1NAR9GD8miF0rr8+44x7f\n3efIFO1iO6HbhRDTAEAI8TEABwFsAXBACNFp9skRayjWEpsQYi4j0QRWz5uK7h1HMPWBnejecQSr\n503FiAN3QsWM0HVSyiOpv78C4JiU8ioAMwH8palnZmMURSZdWFLa0pWlJ99D7ThCqoMiJe7blu2O\nu2/bISgFYvh2pdjeLqr6+2YA2wBASvmHUotO3YbdXVmKIjEUjePog/PRd3IQ33mhDzsOvs9UbUKq\nSEjHHRdy4Pev2Ig+EkL8MYD3AHwawF0AIITwAShJMcFtqF1ZADKurM1LO2p+AtcyoOsWtqF1bAM6\nZ19iG+04ZvgRu5N2x9237VBWndBINOE4Q1TMHfc1AH8O4IdIyu78IXX/ZwD8u5knZlfs7MrSa+Xw\nlWsvK7qTqxUXZKYn0pPJnkhWNeSrlfeD2JOEjjsu4UB3XLHOqseklLdIKdvVXVallLsAvGP2ydmR\ntOqAmrQrq9bRM6ANQV9RA1QLEz9QG0kVtfR+EHviJgHT0dQJrTLsLBxEyO/Fxs4ZWUrUdmiDoCgS\nQ5E4jj04H71/czP6HpqPXSuvR9fc1qIGtBYm/jS1sBOtpfeD2JMhnc6qQw7srDoas0onuwYej0BL\nQwCbl3bYJiahFwva9eoJLJ41CfW+wmuVWpj409SC/l0tvR/EntT7vNjQ2Y4VPb2Z7+SGznbU+5x3\nDY1mJ0Tfgg5p1QGPSP022QCNNv6gFwuad+UErNjai+G4Uvj5NeSCrIWdqJtWscQcPB6BoNeDh2+/\nCkcfnI+Hb78KQa/H9LkkkVAwMBKDIiUGRmJIJAp/942goBESQgwIIc5q/AwAuND0szMApweIjYg/\nFGrrXcoKvhYm/jTqneixh+Zj89KOqqfHhwJerFvYlvV+rFvYxp0QKZlwNI4n/+MtRFILwEhcwZP/\n8RbCUfMWMomEgjNDUSzfsg9T1u7E8i37cGYoarohKihgWitUKmBq95qdUghH4zh5NoKLm0OZup5T\nA5GyUsIHI3Ese3JvXivh7gXT0L3jSEmvxbTocwxG4vjBbzUUkK+bXPNp+qQ2sELAdGAkhuVb9um0\nFK+okR4FTJ0eIE4nE9z/zOFz0h6fnYrxY4Jlrbq1djLpmFCpO5pquyBrmZDfi87Zl2RJrtipzopY\njxUCplZl5Dl6Web0AHHSyPZmFcau2X4ID99+VVmB+NxkiqFIHKGAF1+9brKrdzSVYsfkFFJbWGEQ\n0rHM3KQes1uKO9oIhaMJzT7tTpGf0TOyk1pCZaeNZFo4AJkLrjHojI2yFa5C9fvphGuNVBcrDELI\n78WGxe1YsVWVkbe43fQdvKO/HfU+DxbPmpT3phZLObYLuunIkYSdui+aihvigsR5hAJePPqF6Vj1\nLwcz1+2jX5huqhfH6/WgpSGATUtmoiHoS3pE/F54vebOl86YjXUYjitYsbU3y69aSsqxXdDNSnOI\nu9EIrIoLOj0rk5hLOJrAtlfeQfeCaTj64Hx0L5iGba+8Y3rZg9frQVOdHx4h0FTnN90AAQ7fCTk9\nJpSJPSzpQCjoRTiSwGgTZ5yW5WbFNZDcfUXQpSo03NjZjpaGoK3fS1I9vELgTz81CYMjSaMT9Hnw\np5+aBK8Duxc4eidUS0WUZjIcS+CLm/eg/f/8Anc9UblOmXbNUQThqH1X8tW8BtK7n3A0nkkYObf7\n6nXcdUfMI+j3QORkOAsIBP3Om7KdNyIVtVREaRZGupu0X6sXJ89GbCvAWa1rQG3AQzqZTaGgc647\nYi6RmILhWCJTfnH/M4cxHEsgEnNGKEGNo91xbkiVNdLdpPdaFzeHcOc/7bFFT6RcqnUNqA14OJLA\nP3a2Y87HL8CYej/ODsfw0uunmTBCSkaRyLRyAJBp5bB5SYfFZ2Y8jt4JAc4vojTS3aT3Wn0nB20d\nS6vGNaA24IpUMPOSZtzz1H5MWbsT9zy1HzMvaYYDPSnEJEJBncWlA3fT/FrYHCPdTXrKCd95oc+R\nsTQjURtwKYVmVmbUhu5MYg1uEsF1tHacWzAyo01RZPI1gl4cPxPGY786hg/ORhxdW2PE+6euR/rx\nstmYsnYn4iqj4/MIHHtoPjwOzG4ixmOFdpwJlHSx00HtAAyvzk9dOi2NAXz7jukYjim2iqWVY1SM\nKmZVx56skj8hziEcTeDZA++ie8G0jNrLswfexVeuvQxNdbYxQiXhrNGQUZGbor18yz70D8VsZ4DK\naW1hZHZhejGQlj9RuzWrIX9CnEMo4EXnrEkIptRdgj4POmdNsm1cthA0QiSDE1THyx2DGcWsavmT\nYw/Nx6YlM9HSEKhK9TlxBpGYkrfw83gEU7RJadhVdcAJChPljsFIkVv15z4cV9AQ8GXkTwgpl3Sd\nUNpNvH5RG+oduJvm0sxgjOh0WskxjdApc0JGTrkp62mRW3Xvn8WzJpUtcmvF506ci7pOKL2jv2/b\nITjxcqIRMphqu7SMmvwURUIA+PGy2di9+gbc1n6hLdtSl5uybpTIrRNcmaR2cFOdEN1xBlNtl5Z6\n8gOQmfzS6galuAa1M8TaEY0r2L7v3VRbanusV8pVSDDq83KCK5PUDmGdDMtwJI5Gh7l37TGz2Ihq\ni6YWmvxK3SXpacbFEtKWbanLUUgw6vNKx5Z2rbwer3/zVuxaeT265raywJdUhEcIfPuO6Vk7+m/f\nMd2RdWY0QgZTbdHUQpNoqS6iQh1amxv8CMcSjo1t1Ps8munU5caEjIotEQIkU7JDAS8evv0qHH1w\nPh6+/SqEAt5MyraTcN6ILEbtDjr20HxsXtphqtJAIaNXqotIz5AdPxPG1Aees12QvZxEjeG4gq0v\nH89qHrb15eNlx4Sc3kCRVB+fR+C8kB9CAOeF/PDZIMO2EhgTMgHDFQyKHEsvBjKo51fOST9OGzJ1\nTGj9ojZ867mjWTsoO6hol6uAEAp4sfH5Pjz6q99n7vN5BP78M5eXdVzGhIiRhGMJLN+yL+u7O2dy\nCzYtmYkmh9Wb1faMQkpCz+hpGRct12CeIYsk8MCzh7Hj4PuZx9hlQi2WqJH3+NQusJihLnrcnHqj\nP/z3cMZ/PxiJ26ZWjNQGDTo9qRpqfBFYCc4bEclQTqaY2pBBAB+cjWT9v5KJ2QrK3ZGUaqiLkY4J\nrdjai/Fjglg9bypWPX1wVHp0xL24SX+QKtokD6NEPa1gMBLHsif3Zn15V910Ob5y7WVoCPo0DXEi\noSAcS6Ah6MNQatdSrsSO+ri7Vl6P7h1H8lwpdnBnktogkVAwEInjo3AMFzeH8E5/GOeF/GgK+uwk\n/2StirYQ4gcA/hjASSnllalQ4RuOAAAgAElEQVT7ugEsA3Aq9bBvSCl/btY5kMqwc0fa3J1N19xW\nLJ41Ccu37NM0qOkkhg/DMYQCPpwZjEIJ+dFU5y9rvOodWOu4RowfE8SulddnpIAe391nC3cmIdXG\ntJ2QEOJ6AIMAtuQYoUEp5SPlvBZ3QqQc1AW6Q5G4ZoA3vSsJR+PoH4rivm2HspIymhsCCAVKX6Op\nd0IvrrkREhj1axL3Eo7E0R/WuC5DAYTss5suaRVn2r5OSvkbAP1FH2gyRumqWUW1z9/u7xeQXayq\nF+BN70oURUejq8zManWqvK7u1yiytZ3wuZDSoXacufy5EOKQEOIHQojz9R4khFguhNgrhNh76tQp\nvYcVxO6ikqWef7kTlN7jk8eL5BwvYpv3S4tiighGaXSpXZgXnV9vqO6X3a9jUj5u0o6rthF6HMDH\nAbQDOAHg23oPlFJuklJ2SCk7xo4dW9HB7C4qWcr5lztBFXp8OJpAV09vnnyPnaVniilYhCM6RipS\neVM7oyV87H4dk/IJ6yjah22kaF8qVTVCUsoPpJQJKaUCYDOAWWYez+4FhKWcf7kTVKHHO3H1VUzB\nIhTwYmNne46Rah/VNWK0hI/dr2NSPh4hsH5RW9Z1uX5RG7XjRosQYoLq5ucAvGrm8aotJmo0pZx/\nQQFTDfdcoccbuSuoJQoJmno8As2h7C6ozaHRpaIbLeFj9+uYlE9dwItfv/YBHr/zahx7aD4ev/Nq\n/Pq1D1DnwIWHaUZICNED4CUAU4UQ7woh7gLwLSHEYSHEIQA3AvjfZh0fSIlT5qxyN3SWL05pFaWI\noRbSfdNyzxWa0DweaK++7PF26VIoZqYoEv3hGJZv2Ycpa3di+ZZ96A/HRhVvMXrnUm1RXGI9I9EE\nPnPFeNzz1H5MWbsT9zy1H5+5YjxGHLjwcHSxajgaRzgax+BIIlPw1VjnRSjgMzVV1sj23sVeS6uw\nNK37lpbdUackFypEBYCBkRg+VBXInV9BzUwtUazwVqu4dbSFpWa8pl1bxpPKGBiJ6WvH2UcxoaQL\n1NFGaHAkjmVbNCaDJR1orDPHCFmhNpA1QaV0357tPaf75vMIHHtofsafXGhCc8JkV06dkCIlpqzd\nibhq55P7flVyfLsqTpDawIzr0gKsrROqBXID7QumX4juBdMQCnpNq7WwIpNJHfMopPum9XitGEmp\nDeFqkdzsv4ZA4TohM+Jg1W7nQZwHs+McgnqCWTD9Qqz+7FR07zhiaq2F1ZlMo40f2L0oMncRcHYk\npvllHkp9mc2Kg9ndmBNrYXacQ1Cn3957YyvWbD9k+g7F6kym0azCnVAUmbsIaAz6sG5h9pd53cK2\nzKKgzu/FI7uOZjW1e2TXUdQx6E8spC6gc106MDvONiJElZCckIMZIU4jdyh6sROjWgOMhkqb6pXb\ni6cWye0P9PqpIex69QS6F0zLiIk+e+BdfPW6yWgMehCOJvDB2QjmPfabzGvMmdxSUdsKJ8TTSG0Q\njuhcl5GEafFsq3D0TgjIrmI3aodSaMdQ7XiAke4zq12JRpDrjtz16gksnp1dONo5e1JmUWBU+rMT\ndpGkdvAIHTexA9c0js6OU2NkxlKlKbhGr5SNzsIyI7XYCtT9gUaiCcQSSsG0cyM+F6e8d6Q2YD8h\nB2Jkj5xKdgxmpO0a7T6rBVfiaEkXn6bH8KtV/xP3P3O4oHGo1H2pxgm7SFI7CCHg8wicF/JDCOC8\nkB8+j4AwOTHBCpeybUyqERiVsVSJa8+M1G2jJ75cV+KmJTPR3OBHOJawjVsp932+uDlU9D0ywqVp\ndUIKcRYjsQTOjsSzFBPOjsQxYmKph1UuZVcZIaPiJ5XEEcxYKetOfJFExeNMJ1ecGYxi+ZZ9mPrA\nc4ZejGangOe+z30nBwsaB6O+eJTWIUaiSImvP30wa9H69acPQjExfGKVWjtjQhW6w9Rxh6FIHCG/\nt6Cv1iwpl/wxtSPg9eDup/ZXNE5FkRiKxhEK+NB3chDfeaEPOw6+b0h8oxpKAoOROH7w2zcw78oJ\naB3XiD/89zCEEPj60wdNl+1hdhwxCisUE0w4JmNCaoyMn+TGHUqZTOt9HnzvSzPREExO7rtePYHO\n2ZeMaqWsFefyCOCuJ/ZWNE4tI7FuYRsA4OeHT4w6vlGNFPB0G4UVW3szY9i8ZCY2LZmZtWBQt3Iw\naodqRGyJEAAYSikmqBdH6SJrs7Tjcssb0sespFyhHFzjjjNysil325o2Wl/70b5z/WVmT0JDwAsI\njMotlRvnqvOfG+eC6Rdi18rr8dSfzQYkih5Da1xrth/CvTe2GhLfqEbwPreNwtimID4a1lfJZiyH\n1CKhgLdgkbUpx7TIpewaI2TkZFPuZKo1ua/o6cXJgYjhAcD0ONUyRVMf2IllW4p3XIUEnvqz2di1\n8nosmH5hZlyXj2s05GLU+gy65rZiyMAYUe5nc++Nrbhvm75SBmM5pBYJRxN49sC7WYoJzx5419TF\nkVWah67xGRiZflzutlXPaF3cHMqaGI1wS6XHORSJZ2SKgMKur6QbLoKunnMurEcWTQcAnBqIYCga\nN+RizP0Muua2YvGsSVi+ZZ9xaes5n03ruMaCCwYjU/fVMD5ERkMo4MVtMyZizfZDWa5xs1P+rXAp\nu8YIGVonVKZB0zNafScHM7eNckulx9nSGCh5txaOJtDV05tlsFZvO4hH75iOWEIiFCj+PpUy6eZ+\nBrltFowwxrmfzTv94aILBqO/eGzlQEaLeieklpv6yrWXoanOWQ4sZ42mCEbVCZW7bdVy+axf1Ibv\nvNCXeYyRcQiPR5TkfkynS4eCXowfE8Suldfj9W/eil0rr8f4MUGM/1hdxgVQyE1WTpqz+jNoCBZu\ns1Dp2NWfzbgxwYyI7Tl3Wzs8AqaliVuV6kqcQ3onpJabum3GREcWP7tmJ2Q05aye83ZhkQQSioJT\nAxH4PMIUZYJiuzX1av37Szuwet5U3Lft3NZ//aI2jEQTuG3GRPzwd2+ic/Yluoa20qw3s7JxpJRI\nlx4kFInz6/Pf+7ue2GvaLiUUOGfU06vYx3f3OXICIeYwHFM0d0Jp4V0n4Zo6oVqjGjGDQsdQ18cc\n/NvP4u4fabcSXvuvrxatE6q0vsAMt1UioeDMUDQrRXvD4na0NATg9Xo064JW3XQ5vnLtZWhICd2O\n9rMIR+PoH4rmGfXmhoCpbeWJc1AUiYGRWEHNQxvAzqq1TDWanhU6hjpZolHXLebDjoPvq24Xjnmp\nKcW9aEY2TjiWyErRfumNM1ixtfdcNlwgv9vuFz91Cc4MRiElcHoggoGRWEUuuowahCLzMvLu23YI\nilLxsAhxLDRCLkVtOPSkbQZGYplU7UJGZTRpzkYbY6040/gxQQgIKFJiKBJH19zWzP/++o+vwHAs\ngfufOYypD+zE/c8cxkCkfI0udVysXq+leJDuOFIaI/EEBiLx/Osy7ry4Io2QS1Ebjsd39+X1Llm3\nsA1b/uMtrP7sVKy66fKCRsWq+gIt0pXmaRZMvxCr503Fsi17M8Wqi2dNwqqbLofPI1Dv92nvWsrc\nCKnjYsX06ggphqLANbtpxoQcTLG4k/r/0VgCMUWiIejD2eEYnj3wHrr/7T8zsaGGgDkuQ6PJjQnp\ntXJ4/M6r0VSXlMk3Qi9LHRdLFwqrazyYok3KwQrtOBOgdpybKSXon3aFKYrEQCSRJ4R68yfHY/2u\no2hIucvsgNfrQUtDIKMVB0DTNdZU58fHv/FzHPzbzxqi0aXO9EvH0R6+/SpMagmxWJWUTTiSQNfc\n1owQb1pvku29iW0op1YlHEugZ8/bWRIhPXuOI5aQWD1vKkZs5kbyej3JLCKhXy+VLhQ+8HY/NuTU\nEW3obEe9r7z4TW5c7NRAJGkEJUxLPCHOpd6fFOJV1wktnjUJ9X7nTdnOMqkuJs/1Voa+Xb3foykR\ncuF5dfjS91/GpiUzqzUMw9Gql9qwuB1bXz4On0fg0gsasXXP8ax6jK17jifrMXylf+HNkv8h7mQ4\nrmDryznX5cup69I+7b1LgkbI5iiKTE54QS9OD0Tw2K+O4YOzEXzvSzOLFoKmDZeUMk9nbs32Q3j8\nzqvxylv9GbeWHdEyDvU+D7563WT8+WcuBwC8cXoo6zlvnB5iKwdiKXoLQyfuhJw3IodRqBNpJi04\nlfl1/zOHsermqRjbFMQTL76Z52bKVUwYGInhdMptpBc3ScdH7ExuGrjX68ncHoklsHre1Cy3x+p5\nU01to0xIMcLRRGZhqG6r4sQMSxqhGqaYJluh/j8bn+8rmDatrkP4/QfaKcXv9IexYXH58RE7YVYq\nrNltzImz0VsY2tkroQeNUA1TLLkgHfdJN697/Zu3onvBNHx8bAOuubQZwzFFtxBUPfl+54W+vAZa\nGzvb4fcKbH35OEYSDixOSBEK6sTORlFYWo6gKyFa5Na7AXCEV0IL55lVB1EsuSAcTaZxLpx5MVZv\nO5gVeP/unVcXVCxQT77plOLuBdNw+fhGnB2OoTHow+unhiqOj9gFM9ooV6ONOXE2Ib8XGxa352kg\nOrHZIndCNUwxTbaQ34svf/oyrN52ME8rzesRBTOzwpHs195x8H107ziCwZE47nlqPz7x18+5Ij5i\nRhvlarQxJ85GXe927KH52LRkZkaE12k4b0QOopgmm8cj0Finp1NWeMUdCnjz+uxs6GzHEy++6Qqp\nkDRqyXx1G+XhWOWDNrKVPHEvQgiIVJG4+m+nQdmeUWBFO4Z6nwfDcSVzGxJYtmVvnizN5iUdRSur\n817b78HUB56zu1RIWZ+LGe0k2FmVjBY3tXKgg7pCLJloZLIP0N1P7c8c8wdf7sB3vzQTjUFfRtrj\n9pkT4Slhj5tb1zKoEx8ZbZO5QhhtyMv9XIwsMlWPpSHoxeYlHQgFWbhKykedvaruSeX3eRzXk4ru\nuAqpRgvnvCyrLXsxEIljbFMQcUVibFMQH4ZjuPtH+7KkPc6r96POd64eqJRUYUWRgAR+vGw2dq++\nAbe1X1hWSwZDxmdAFlkln4sR7SRyx3LXE3sxHEtQtodUhJtUtGmEKqQawWetCfW+bck6IAC498ZW\nfP3p/KQEIJmUUOokr1X0uvaPrsD3l3agOVT59r+YATTDkJfyuZhRw6Otv/e2oYsS4h7MKB2oVWiE\nKqRQ8NmoSU5vQm0d1wgAaB3XqHuhpl1DpUzy2o/rxcmBCPrDpXUZzR1zuqVCIQNohiEvlhRgVg1P\nWmZFrbxw24yJjpRZIebjpjoh074hQogfCCFOCiFeVd3XLIT4pRDi96nf55t1fLPRy1yr93kMm+T0\nJtR3+sPweQTe6Q9r/v/4mTDODEULTvJqg6H3uIubQyXtTDQn9nAUPXveLmgAzcgiK5ZRaJYb1U0y\nK8R8zCgdqFXMXKY9AeCWnPv+CsCvpZSXA/h16rYt0esmOhxXDJvktCfUdowbE8Sxh+Zj3JhgXpr1\nuoVtePSXx9DVc0B3NTU4Es8yGIMj2o8bGIlh/Jhg0Qtfa2Jf0dOLeVdOyHpc7i5nNG3B9SjW5dUs\nN2oo4EX3gml4/Zu3YtfK67Fg+oWOlVkh5jMc1SkdiDovKGTaN0RK+RshxKU5d/8vADek/n4SwG4A\na8w6B7PRUk02cpIrlrkVCvhQ50tmYdUHvOg7OYhHfnEUOw6+D59HpGqBctoYqGqBgGQ1/4t9pzSr\ns196/XSmWLVQRk4xt2Ga3Ew7s9ofFFKzVjefS9M1txVDkTgagr6KziG9E+zecSRL8bh1bIMjm5AR\n8/EI4PaZE3HftkNZ2XFOzG+p9rdjvJTyBABIKU8IIcZV+fiGkkgoCMcSaAj6MBSJI+T3YjiuGJrm\nXKw9gMcjAAHc+U978o45HFPy2xj4Pdj4fF/Wa0we26TZu2TelRNw37ZD2Lyko+A5ak3saf/1nMkt\nWanSubucarc/yO0v1DW3FYtnTcLyLfsqTrUPxxJY0dOb1wrju1+aWVKqPCG5BP0eBL0ePHz7VZk6\noaDXg6ADY4ymFqumdkI/k1Jembr9kZTyPNX/P5RSasaFhBDLASwHgEmTJs18++23TTvPSkgH3nN3\nD82hAD4cjhWtUxltfYz6+UOpuM47/cOZfkIbO9vR0hDMe83BSNIVpzYYr3/zVkx9IL+f/dEH52Pq\nAzuLFqvq1eY0h/xZhbW1UiuT+94t37Ivv9i3DJ03RUpMWZv//h17aD4gURNjJvZicCSOH/zujbz2\n3l+9drKddtY1Waz6gRBiQmoXNAHASb0HSik3AdgEJBUTqnWCpRKOJbBia/bqd8XWXmxaMhPNIT82\nLZmZtUPKNUClFlRqGSsAec9ft7ANO3rfw9o/ugI+rwdekdwhDaqOn6wFkvjxstk4fiacMVh6Ip4D\nI7GMq6qQmKfHI3B+ffaY633eZN+elNZVLQl3qndfepL55bhP9XaCdMWRSgkFvOicPQldPb2qOaKd\niQkGsAPA0tTfSwH8tJoHN7I+pFC/j/5wDMu37MOUtTuxfMu+TJpz+vjhaGkZWnrpxFrPX7P9EOZd\nOQFdPb3wCoGv/Whf1nMyKdOp80rXAj2yqC0TE8pNcNjyH2+l+toXvvATCQX94WjOmJPHtIJyPmcj\nMvR0EywcOGGQ6pCMlwZzEmzyPRtOwMwU7R4ALwGYKoR4VwhxF4C/B3CzEOL3AG5O3a4KRteHDEXi\n6Jrbmunjs2vl9Zldg5aBGYknMsevLzF5QS+dWK+QLV031Fjny6gqqA2cVi3QYCSBv+jpRbNKsffx\nO6/G8//1AR791e+xYmtvsvK/AOpdobpo1opCzXI/ZyMy9Ipl5BFSCUYoedgBM7PjOnX+9RmzjlkI\no3u81Pu8WDxrUl5MqN6nbSAUBZnj950cLCl5QS/rLN2GIff56dc9fiaM++ZNzfQJSu/Q9AxX19xW\n9IejWKHa+q9b2Ib9xz/Czw+fyNQV6cV2aqkLZLmfs1EZetVOsCDEKTgv1UIHo+tDRhKK5up/OK7t\n3lHvXrQ7meavvvVcRR4P8N07r8bu1Tfg9W/eit2rb8DGxe3Y9eoJrFvYhsd+dQwXnV+f9Ry9mqF3\n+sP48qcvy2R35bYJ75rbWnRnUUvV3ZXI9gAwRDuO7bwJKR/XGCGjq/P1JruGoE+zwFRdELrj4Pt4\n5BdH8fDtVxV03+i5ioJeD6IJBfc/cxhTH0jGdyCAhTMn4pFfHMUHZyMIRxKZ56xf1Aa/R2gXvjYF\ndXsStY5r1DRQufGrep83L6aU3hVWGytke9jOm5DKcU0/IaNbLwyOxLX7+CztQMjvzcpo8wjgn37z\nBm6bMRFrtp8rPtvQ2Y4LigQbtbLjwrFEXpr1nMkt6F4wDd07jmD9ojacV+9HfSDZ3uHx3X149Avt\ngExO0qGgNys77ntfmomv/Sg/TTmd7aaXfpxO2x6MxPHbYycx5+MXYEy9H2eHY3jp9dO4bsq4qrum\nin3OWinq5aZk52LGaxLiAGoyRdsyjO4bk1AUrF/UllXRvLGzPfOa6viAIiU2Pt+HvlNDWQWhpRjA\nvNdSpO4u7PLxjXj49qtQ5/fgG//6aiYmNGdyy7l4kwC+uDm7sPWJF9/Ehs72rJjQxs4ZaAj49NOP\nVfGrUMCLv+jp1a6T0XjvzGwEWFxlwnjZHrbzJqRyXGOEAOOCx+FYAnc/tR9jm4IZo/JOfxgNOvGE\n9ES+4+D7WYYhuVIu3SOaXuXr1fWEIwl4U8c/NRCBzyPylAq0JsyNz/fh3rmtmhN3rsKAlvJBOJpA\n19zWvMK63ESLajUCLPQ56713xWqh1OQaUo9A1ZsBEuIUXOOOM5JCFfJaygJGTb5pt8/YpiBWf3Zq\nlmtv/aI2fOu5pG7cgukXYtXNUzCpJYSRWAKKgkyHT48A7nqiPNdRsd2LnnpES0MAXu85I1sLbquE\nouC9D0ey3rt1C9tw0fl18JagsaP9WbYj4PVkdbxlO29CSnPH0QhVgNoY3Htja2YnNG5MUFfoM3ci\nr/d5ypa0URu/BdMvzBx7OJrAA88exrO972cem5TduQX9Q7kSQoUnzErcZbrxsSUdWYoB5RpvMxiM\nxPGD32rIoVw3uSRDqGtIl3QAAjUnUUSIhTAmZBYhvxffvfNqDETieTGhOp/25JN2baVFRM8MRfNi\nMMVWzur4TNq1l04g+OBsJOuxaXdQfs1MLzYv6dB0vVW6Yyu1C2Qp8SWzCfm96Jx9SUH3YsHn68V/\ngt6MIaULjpDScU2KtpF4PAJejyevB3xXj75KgDqNt+/kUNG0Zy0KVfdr3a+rixb0JifK9IYkpTE3\nEq+s4Vu6eFZNOkZV6vlXi9GqG5jRiI8QN8MlW4Xorv51MqLUlfy6bbmLZFMVEgrVyggrtPMI+b2a\nsY3xY4IVnBfyMgXXL2rLa2NgVv+gchlNgkopiRqEkNKhESqR3FgJZHkZUWo3TqmyPXnHjcQRVyTu\nUcVz1AkAeQ32CkyY2vI2vXj0jum454bWrHhJscyxOp8XTUFfpvfJ6cEI6v1e1Pm9WSreTqBWDCkh\nToFGqAS0YiXfvfNqbOxsz5da11kRq3cladkedYaW1mpa67jrF7VliZOm20c0efM9q4UmTL3YxviP\n1WHV03uy9fCKrPI9HoGmOn8qE05CCOBrP8pvEgfkt6CwYxYZdeIIMQ5mx5WAVkbUqpsux5L/cSk+\nCscynQ/PD/nRVOfXnFBzDUrX3FZ8+dOXobFOv6W0XiZW94Jp+M4LfVnZcaFAfs+iQlluua/d/Sef\nxG0zLsooHjx74D10/9t/ZhIfSq2hKZSGDcDyFG1CSNVgdpxRaO0aPnf1RNzz1P6SJ1TdXYkQuhOw\n3m7l42Mb8uqEctOszwxF0bPn7Uwq8mAkjoaAN1O3o3bV3XLleMy/ckKemw8AHvz318pSwy6mHmAX\nZQGzlR0IKUYioSAcS2Q1x/RqeDzsjvNGZAK5GVELpl+Ii86vL3tCLbc/iF7W2VA0gTXbczPzzmWx\nhWMJ9Ox5G7fNmIjuHUcw9YGd+NqP9uFMOIpwNKn0HI4l0BzyY/PSDtx+9URNRfDbZlxUduZXoeyx\namWWjVbRmoKkxGrSBeDqRpHp5pROw1VGqNLJKTe1eNXNU/DBf4+YPqGms87UKc3rF7WhSUf1Wt33\nZ96VE/IM1YqeXpw8G8lMrP3hGEJ+r24q95h6f0oNu/TLpFAadjVStI0wIHrNBK1o0kfcSS01ijQb\n1xih0UxOubUlFzfXw+cReQYinZhgVG+ZOr8Xj+w6iu4F03D0wfnoXjANj+w6qrtDGhxJxmN+/8Gg\nbhr4xc2hvIlVrx/Q4EgcW18+juF46auvQnU46v8dffAWbFoyEy2NAYRjCcN2GZUYkNzPi4KkxGpq\nqVGk2bjGCI12dat2pYWjCXRt7cW3njtnIB6+/So0pCR7jHLlhKMJfHA2gnmP/QYf/8bPMe+x3+CD\nsxF4PMjbUWzobMcTL76Zyb5T9y9KkzYsC6ZfCODcxFrv1+4H9Mz+d7Hx+b6yJ99Cbse0ckT/UCzj\najDS3VWuAdFanOi9d4V2uWxqR4yklhpFmo1rsuOM1C0r9FrhqHavn2IZYFqBcAAYGInhQ40MPADZ\nWnR+D6Y+8FzmnLr/5JO4tW1CljTQI4umY/u+dzDvygmY99hvMGdyCx6+/Src9Oj/xT92tuPTl49F\nY9CXlx1ndPbaaIRMy836K/baepmPi2dPKllWqVrq4MQ9lCoKXOMwO06NkbplBZUIKnDl6E1izSF/\npoOquhYJyK9VSa/e0+e0//hH+NyMizIFpO/0hxHwCrxxegit4xoxZ3ILvn3HdPz9zv9KFsD++ADm\nTG7Bd++cmcmSM0tWp1J3VymTfbmKBuW2ttBCu/D3AFPPScV4vR40hwKa6ihOw3kj0sHIoHih16ok\nA6yQq7ArT2NOOziZm8Sw6uYpuPup/bjhkd34+Dd+jhse2Y2urb1YedMUDEcTePj2q+DPmVRfeasf\njXW+c23Hl5Snq1YqlWbJleJSLVcbTu9chmNKyZmMjCERo1EUiaFoHGcGo5ASODMYxVDUmW5e1yzT\njJRb8XgEmkPZGm7lNIHLRW8S0xUg1Zjc1EkMreMaIQQwfkwQu1Zen5HgeXx3Hya1hLBya29Ggbt7\nwbRMo71rLm3GcDSBC5qCgERWGwYjqVR/rdTJvhxFAyO04GpBHZw4i5F4AgOReJYXZP2iNvh9Ht12\nMXbFWaMpglFyK4oi0R+OZRWDDkXiaAhAV0y01BYNadJBSL0OqrkGQp3EAAAvrrkRq+dNzRMVPTMY\nyRidV97qR+u4xuwOrAHzizIrXRAYNdlnxZVU9VKVLk4oakqMRlGQUekHki7e+7YdSvatchiuSUww\nknRjtNtmTMxSLdjQ2Y4LGoJlT+J6sY6moBenh6J5hqS5IZBZDakn1MGROIZjCVzQGMRgJI67f7Qv\nL0D/rc+34bpvvZC5/fidV6Opzo9wNA6vR6DOX7sKAUYkACiK1E32GM14qbBAjKQWGkAaABMTzCK3\nGBRAphi0kmC03s4AAlkutr6Tg3hk11E8+oVkcoKewOnXn+7Ft+9o13RdXXhefWbns25hG/7mp0fw\n88MncOyh+fji5j1ZCRANQR/qfMnVfLEJthoSI0a4VM1yc1DUlBhJuhawFC+I3XFNYoKRhCNxXF5h\nT6A0uXUlAPIC4Xp1QuFoIhO4bG4IoHvBNNx61YTMlv2eG1oz7SLUJF1X8XOFr784ih0H38c1lzbj\n+JlwXgLEybMRDIzEcGYoUrDuqZoSI+VKH+WidnOkx3rftkNIKJI1PqRmCAW82NjZnl8M78BkF2eZ\n1Crh8wgM6sVrSohPlOpW0os11Ps8ec9ft7ANAPDzwyfQOq4R//tfenXbRfQPRdG94wjGjwli9+ob\nMKklhPc+HM4UsarVuQdGYlj19MGC6cdqiZH0Ywq1mMh9L6rpxtJvRujDlLU7WeNDaoLkrj/oir5V\nNEIVEFeAJ158M2+S30jk6rUAABVZSURBVFCgn5CaUutK9NxPWs9fs/0QuhdMw6mBCPpODmLHwffR\nOrYB3/3STDTV+RCOJODxAEIkM/u+v7QDQ9F4Vj+kRxZNR8Ar0KUqkPvxstlFd3yVSoxYUeSp5+bo\nOzmYlfbNGh9iNW5x8dIdVwGhoBcbn+/DI7/I1nUrdfIsp64k1/1U6PmXj2/EP/5pOx7f3Yc5k1vw\n1WsvQzqGGVcU/N+jJ3FmKILBSBwnByJ5NUirtx3EUDSRdd/xM+GiNT2VSoxYIRSq5eZYt7AN33mh\nL/MY1vgQUj2ca15NJJyadHccfD+T7jxncgs2L5mJxrridl0r1bhrbmsyzTuo3+QuvXPQS90+fiaM\nUNCLb98xHbG4grMj8TzZj71v9eOKCR/Dxc0hXYFTNY/96phGB9ns9ONQSnsu91ijqftRpDTFBZHr\n5hiKxPHD372Z+RwB1vgQUk24E6qAUMCnEzQsbdLKaw1x0+VYPGuSpqCnOoFhKBpHz5638egvj2Hd\nwra81fzuoycRjiQghEBMkdj68vE8Kfg5H78AFzeH8hIXFky/EL9a9T8hBLBr5fWZ+NAHZyNoCPoK\nKhCka6M2LZmJYw/Nx/dTE7xIxc70Av16agXHz4RN7eOj3l02BHzonH2Jqe0lCCH6sE6oQgoF1EsJ\ntqsfMxSJY/mW/JqezUs6MJxyWakTEB75xVEAwDc/dxXqA170nRzES6+fxtxPjM+KUaUfm17lp+sM\njp8J49FfHst0Zx0/JphX2LpuYRuePfAuOmdfUpKbMT2een8yaSJb/LMdLRr1U3op5t967mj2DtPk\n+AxrfAgxhZK+RDRCBlNJsL1QYdoXN+/JM07dC6Zh3mO/wa6V16N7xxG89MaZrL+1Hpu+vWnJTCiK\nxN1P7cf4MUGsvGkKLmgMYtmWfOXpTUtmllTAqh7ztz7fhr/8ySFNg6pV35BlACIJPPDsYTzbe841\nZsMCPUJIEhar5mL0ilfr9SpRVNaVo4kkNGMmreMacVv7hRhT58OPl83G8TNhTNRpN66W5Ul2SU2O\nOSvjroB2XXYBq7YxVY9Zt+15UNu9pc4Agki6/9QwPkOIs3FNTMiIts+lvF6931N2EaueKrfHA22F\n52gca//oCqx6+iCmrN2J+585jP5wFF1zW/MemyxOTXUxbQjA5/PkZdwVis2UkrmmNmLhSAJdc1ux\na+X1eP2bt2LXyuvRNbcV4UjxjLdqtP/WQqshHZvUEVIdXOOOG00jtXJeb9OSmdrxnQqb2mkVpQoB\nTZfX9740E1/70b6y4zp6DbR2vnoCf7vjPzOP03ONqd+LfQ98BgkFea81ps6HuhISN6oRn8l1ASYU\nBXeneihdc2kzvnvn1YgmlLyMQBawElIWdMepMbrnSyEXlp6icqEJVq8wTV2smk4nvnfu5ZrHbqzz\nYdOSmQgFfEmduVRSwktv9GcZwdzz8Ahg68vHszTqtr58HAvaLwJwzgjpucbUyg7hqJJlINNZeaWq\n/5pdoKeXDDG2KZjZ8X0YjuH+Zw6zSR2xFLckzLjmG2Vkz5e0q0bv9TTFSJG/qyllda2elEMBL26b\nMRHv9Ic1jz04kqwzmvpAdpKD2tiqJ+F0YsKklhA+d/VErN+VzLq798ZW3Dv3cgxHE1h10+XY+Hxf\nwfYEucoO5cSEqo1WzO6+bYey+irp1VCxgJVUCze1jLckJiSEeEsIcVgI0SuEqEram5HxhpF4AtFE\nIquT6ZzJLRnZHi2RTSPUAYZjCp498C78XpFXp7Shsx1PvPimrnDpUCqukT6PsU1BrLp5Ku5/5jCm\nrN2Jv/zJIay55RP46z+6At07jmDqAzuxbMteLJ49CUcfvKVoh9L0mCvtmlotQgFvptlfOmY1fkwQ\nreMaM49JG3k1tTQG4nysUBOxCit3QjdKKU9X62CFuqGWi6IAf/HPvRjbFMy4sN7pD6MxoK/qPBp3\noHpb/uVPX4YnXnwTb5wewsO3X4VJLSGEIwnUBzzY+Hwf+k4N5WnarVvYhh/+7k10zr4EzQ1+vPJW\nP/6967q8VhSrtx3Ew7dfNar2FKNt8Ga2C2IkltBs9nd6MJLJIjw/5C+qEkGImbipZbxr3HHpbqiV\nbm/VkyOQbJ39bO/7eYWgelTqDtTalm/obEdLQwDDMSXThntQJSUEINOsLjc2tGnJTFxzaTNadVpR\n5Mr2VGIoG4JebF7SgVCwPENSDReEXsfKtNqD2n3qBgVjUpu4qWW8VSnaEsAvhBD7hBDLq3HAcCyB\nnj1vZwmO9ux5u6TtbV469pa9WD1vKhZMvxALpl+IXSuvx9EH52dcXlrpvZW6A7W25St6ejEcU7L6\n6ahf/+eHT6Cpzo+pD+zEvMd+k9XOuyHow/pFbboup3f6w3n3FXND5b4/dz2xF8OxRNJAltHzpxou\nCL1WDg057tPR9i0iZDRYVa5gBZakaAshLpRSvi+EGAfglwD+Qkr5m5zHLAewHAAmTZo08+233x7V\nMROKgvc+HMlzU110fh28nsK2WC8d+9E7piOWkDk9e9oR8HqyUn7Tq3kgGU9SlORkGI4kdw6FJrhy\n2vyWKgX0wLOHcd+8qQj4PDkup3bU+704PRgtq/W1bvr7kg5AoOTdhCIlVv1LL+65oTWTpff47j48\n+oV2wxQT0q3Z5105IXOMXa+ewFevm+y4FSaxNw7IjivpZC3ZCUkp30/9PgngXwHM0njMJillh5Sy\nY+zYsaM+ZjiayMRA0qvsNdsPlRRs1gtmj/9YXd5rdvX04sNwTHc1PxRJYNmWczuqYgWz5QT6c4U5\n9QpgPzgbwafXvYD//2evZXaG31/agXq/F6HURPz1p3tx/zOHES2hO2qhjLhyioPT8Zp0YkT3jiNY\nPW8qRlQ7odEWkdb7PFg8a1LmGLtePYEvf/oyhAJeDI7EEY6yMJXUBm7ZjVfdCAkhGoQQTem/AXwW\nwKtmHS89aTUEfeheMC2jDg2U1ngNKDA5RrVldfTiKpW4myrdlqvTptXq13W+bLdd944jGByJYSga\nx7KUivf9zxzGqpunYmxTEF09vUXdYaNVXEij13pbUdL/H73qxXBMyXSBvfWqCeicNQn9Q1FICZwe\njCAcjWNgJEZDREiVsML/MB7Av4qke8UH4J+llM+ZcSCtQHe6DfaOg++X0Y5bP5itFTzUi6sUyngZ\njMR1i1grzeorpQA2HE3Gbrqe2q/ZqfWPNv62aGKCdkZcOx7699c0x6r7Onqtt1M1RpXo8hU6xppb\npiKSUHD/M4ezMuUSXsAbc14AmJBapOo7ISnlG1LK6amfaVLKh8w6ltbOY832Q7j3xtayAn2Fgtn5\nu5R2nB/ya+5c9HYMgyNx3dV9Oqsv3Wto+ZZ96A+PbqWeu83XG1/ruMaSEhO0dl0NQZ+uGKkexVyP\nRqStptt7A8DH6gOaO6+GgM+RqbCE1CKOFjAt1Aa7WPGlmkKTY77LK4imOr9mEzgt11q6yHRsUxD/\n3nUdnvqz2RiKxDEST068xVx4Rght6o3vnf5wsllfCYY617Cp3X6luhGLuR6NKIT1eJApMi6082Jh\nKiHVwdECpkaJlhpRv6Ju+haOJjJtvOv9Hnz96YNYdfPUvCy7loYgIKCbHQdZmRRQaeNrhyKBOp+n\naHaceny5UkXlZvcUaxZoxOcwMBLDh+EYLmgMYJlGBuH3vjTT0YFgQqoEm9oZWfw4mnTJQucRjiVw\neiCSJZgJZKc46xlSQP9/lejhDUXjaAj4UokcXgyMxPHS66dx3ZRxZRfUmqVzZUTaaqEusBs629ES\nCsDrdbSTgJBqQCMEmJtrX+prF9qRhfzegrsdWUDpodDzKqmriScU9Gu0dGhuCMBXYFI2uk1GNXFA\nLQYhtUrt1glVE6Ny7XNjL+kePKWkCxcKqHs8IitYniad4jwcVzRTrT0eYbhY6HAskUlfzqgzbO1N\nqh8UwM46V26pxSCkVnG8ETICzfqUcBQ9e94uqQ6mlKyvXFXsdQvb8NivjmUMldZEabS0R0PQp5sF\nWIhwVKebKoP7hJAiON4dZwR67qbuBdMw77FzakOF5HS0evioZXtGonGMxBWMqffj7HAMzx54D7uO\nfFDUpZVIKAjHElk1RJXGMwZGYppSP5uWzERTnb/gOQzHEogrMnP+Po9A/SjOhRBie9hZ1Sj03E3q\nHjSAvsptuo7m+1/uwFAkntcioDnkx0DO/esXteFzMy4quKsZrTK41ji12kAUc6vFEgrC0UReLMnn\nETRChJCCcIYoAT132lAkXrIrzOMRUCTQ1dOr6cLLvf++bYfg9XgKGhOjVafTTfPUSuPPHng32TKi\nADFFasaSYpS+IYQUgTuhEtBr1NYQ8JbVc0ZvR6UXiwkFvQWzt4xOCAj5veicfUnZDekqjSURQghn\niRJQy9LkGoPGlLuplFTkoVTjuVytOb37w5EEhlO7HS13m9GNryrVqSs0Lr1YElOjCSEAExNKxohJ\ns1BPo8GROD4Mx7L6+Ph9Htz1hH79jdFFopW+XjpdPTcm1NKgXfRZzeJWQohlsFjVKPRkbRqCPtT5\nSzdKAyMx/PB3b+Y1VPvKtZdhJBUXUr9+c0MAUx94rmAxqpE7itEUnZaTpWd1cSt3YYRUBRarGoV2\nAkAvTp6NlNXXJhTw4rYZE7P6Et02YyK8QmgkLPSWVIxqZLHlaGJMXm9KY04INNX5C2bFWVncakRP\nIkKIcdAIlYDepHlxc6isrDS97LO6AgkL1ewzb7QCg9XH0Ty2wRmFhJDRQSNUAnqTZt/JwcztUlby\n6ewz9U6oc/YlurI92q0izIubGK3AYPVxNI9tY4khQpwIY0IloBUTWr+oDd967ih2HHwfQOkxDb2W\nB7USqDdSgaEQVsVlrI5HEeIimJhgJFmTZiSBhKLg7qf2G2Y0aiFY7oasNTeMkZAagUbITGrBaBiN\nW3YJTvzsCKlBqB1nJumsNKC0QlU74JZ4iRM/O0LsChMTSAYrs9YIIe6ERqgGyG2YZ1XNipVZa4QQ\nd0JfhMXUUqC8kEYeIYSYAXdCFlNrxZNsd00IqSY0QhbjlmQAQgjRgkbIYpgMQAhxMzRCFsNkAEKI\nm2FigsUwGYAQ4mZohGoAFk8SQtwK3XGEEEIsg0aIEEKIZdAIEUIIsQwaIUIIIZZBI0QIIcQyaIQI\nIYRYBo0QIYQQy6ARIoQQYhk0QoQQQiyDRogQQohl0AgRQgixDBohQgghliGklFafQ1GEEKcAvG3y\nYS4AcNrkY9Qqbh474O7xu3nsgLvHb/bYT0spbyn2IFsYoWoghNgrpeyw+jyswM1jB9w9fjePHXD3\n+Gtl7HTHEUIIsQwaIUIIIZZBI3SOTVafgIW4eeyAu8fv5rED7h5/TYydMSFCCCGWwZ0QIYQQy3CF\nERJCXCyEeEEI8ZoQ4ogQYkXq/mYhxC+FEL9P/T4/db8QQmwUQvQJIQ4JIa62dgSjQwhRJ4R4WQhx\nMDX+v0vdf5kQYk9q/P8ihAik7g+mbvel/n+pledvBEIIrxDigBDiZ6nbrhi7EOItIcRhIUSvEGJv\n6j5XXPcAIIQ4TwjxEyHEf6W+/3PcMH4hxNTUZ57+OSuEWFmLY3eFEQIQB/B1KeUVAD4F4F4hxCcB\n/BWAX0spLwfw69RtAJgP4PLUz3IAj1f/lA0lAmCulHI6gHYAtwghPgVgHYB/SI3/QwB3pR5/F4AP\npZStAP4h9Ti7swLAa6rbbhr7jVLKdlU6rluuewDYAOA5KeUnAExH8hpw/PillEdTn3k7gJkAwgD+\nFbU4diml634A/BTAzQCOApiQum8CgKOpv78HoFP1+Mzj7P4DIARgP4DZSBaq+VL3zwGwK/X3LgBz\nUn/7Uo8TVp/7KMY8Eckv3FwAPwMgXDT2twBckHOfK657AGMAvJn7+bll/KpxfBbAi7U6drfshDKk\n3CszAOwBMF5KeQIAUr/HpR52EYB3VE97N3WfbUm5o3oBnATwSwCvA/hIShlPPUQ9xsz4U///bwAt\n1T1jQ3kMwF8CUFK3W+CesUsAvxBC7BNCLE/d55brfjKAUwB+mHLF/pMQogHuGX+axQB6Un/X3Nhd\nZYSEEI0AtgNYKaU8W+ihGvfZOo1QSpmQya35RACzAFyh9bDUb8eMXwjxxwBOSin3qe/WeKjjxp7i\n01LKq5F0t9wrhLi+wGOdNnYfgKsBPC6lnAFgCOfcT1o4bfxIxToXANhW7KEa91Vl7K4xQkIIP5IG\n6MdSymdSd38ghJiQ+v8EJHcJQHIVcLHq6RMBvF+tczUTKeVHAHYjGRs7TwjhS/1LPcbM+FP//xiA\n/uqeqWF8GsACIcRbALYi6ZJ7DO4YO6SU76d+n0QyJjAL7rnu3wXwrpRyT+r2T5A0Sm4ZP5BcfOyX\nUn6Qul1zY3eFERJCCADfB/CalPJR1b92AFia+nspkrGi9P1LUhkjnwLw3+ktrB0RQowVQpyX+rse\nwE1IBmhfAPD51MNyx59+Xz4P4HmZchTbDSnl/VLKiVLKS5F0SzwvpfwiXDB2IUSDEKIp/TeSsYFX\n4ZLrXkr5BwDvCCGmpu76DID/hEvGn6IT51xxQC2O3eqgWZUCc9ciubU8BKA39XMrkr7+XwP4fep3\nc+rxAsB3kIybHAbQYfUYRjn+NgAHUuN/FcDfpO6fDOBlAH1IbteDqfvrUrf7Uv+fbPUYDHofbgDw\nM7eMPTXGg6mfIwDWpu53xXWfGlM7gL2pa/9ZAOe7ZfxIJiGdAfAx1X01N3YqJhBCCLEMV7jjCCGE\n1CY0QoQQQiyDRogQQohl0AgRQgixDBohQgghlkEjRIgJCCFaVArGfxBCvKe6HRBCfE4IIYUQn1A9\np0MI8er/a+8OWa0KwigMvwu1ajCLgljEZNViEpvB4PEv2A2KcJIgaL1diyCIRg3+hVsEg8FuMYlJ\nWIbZ4MFyi2cPXN+nbJjZYXZaDHvm+/KnovfFJF+TnJ73JdJ+eURb2rMkW+BH22c7Y68ZBSQ/tt3u\njB8wbvk/SfIeeNH2FdIxdfLoVyT9S0sNw2vADcZN9e3O9EPgMMkv4JQBpOPOEJLWd5vR4+ZLku9J\nrrY9hFHbL8lT4AC4PHWV0gr8JyStb8Mopsry3Pw1fwv4hiGk/4A7IWlFSc4yKnlfSVLgBNAkD9p2\naT1xBrgJvE3yoe3PiUuW9sqdkLSuO8DLtufbXmh7jtH98/pS4fw5cL/tJ0aF40cT1yrtnSEkrWvD\n6Ouz6w1wD3gMvGv7eRnfAneTXFpvedK6PKItSZrGnZAkaRpDSJI0jSEkSZrGEJIkTWMISZKmMYQk\nSdMYQpKkaQwhSdI0vwFZn0khf9UloQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1107a73d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Syfc8+xo+9cHpaA2ZE6BGSiXvr7Yho4a9SyeKxwYpGBOZYKSEiB8ope4A8B4A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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ff7ca50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3D+Dg6nuwclZDUYYOM0HhtnTK6aRLFD+mRjkkXcjYF5xzQ0rauZKPUQ5qKBUQ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1108fe550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MTbBqSTe2r1+OWIQtJwo3JkQQNTBNE3S3R7FrYx9iUR2JtIVYRGcyBIVe0ZaTiHSU2Hdp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\nIgqd/x+BFnIBfDTO9wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fec9390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qTu8XALQAW8ZsDiEEAJtU1JFtzRCkOc7MrjOz75nZD83sAyHKAAAIr+0hZGZl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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110039590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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V2c/RMb415/kWzroAPQunIxzy6fbrGY4msLq3Dy+/cQb9J4cMa7eNxFU8s/84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\nQlzlfwMAo8j9zezyhwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11079b610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MbNGSoq1hHBqeExoSEzTMQjS8NlxiEPJA/cHE6vLPQ7tetvokz6YS2LBkfsOb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\niPxARJ6p/P5XVR7vE5HvichzlY8nuB5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      "text/plain": [
       "<matplotlib.figure.Figure at 0x110347e90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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daRDUznc99/At2n/HtmXNb4WwlgmNE8IHjOk5qFrTc1C4PAIJMxZ7wV/uD/5y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\nQAIABIFAAgAEgUACAASBQAIABOH/A89vy7+8Cm5pAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11046a090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FMl1aMiOZdpD2iCZ+3jgsYEpEeckK+4SSAe8TYhCaYLobQF2l8IMX3ikZlfzg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\nlQtLprhqqfasK5VxkRpzp79++XykMi4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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1104ba910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Scatter plot of only the highly correlated pairs\n",
    "for v,i,j in s_corr_list:\n",
    "    sns.pairplot(data, size=6, x_vars=cols[i],y_vars=cols[j] )\n",
    "    plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
